Determining the Volume of a Solid of Revolution

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Questions

• How do you use cylindrical shells to find the volume of a solid of revolution?
• How do you find the volume of a solid of revolution using the disk method?
• How do you find the volume of a solid of revolution washer method?
• How do you find the volume of a cone using an integral?
• How do you find the volume of the solid obtained by rotating the region bounded by #y=x# and #y=x^2# about the #x#-axis?
• How do you find the volume of the solid obtained by rotating the region bounded by #y=x# and #y=x^2# about the line #x=-1#?
• How do I perform the following: #int_0^1int_0^sqrt(1-x^2)int_sqrt(x^2+y^2)^sqrt(2-x^2-y^2) xy dz dy dx#?
• How do you find the volume of a region that is bounded by #x=y^2-6y+10# and #x=5# and rotated about the y-axis?
• How do you find the volume of a solid that is generated by rotating the region enclosed by the graph of #y=sqrt(x)# and the lines #x = 1#, #x = 2#, and #y = 1#, rotated about the x-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the graph of #y = ln(x)#, the x-axis, the lines #x = 1# and #x = e#, about the y-axis?
• What is the volume of the region enclosed by #y=2-0.5x#, #y=0#, #x=1#, #x=2#, that is rotated about the x-axis?
• How do you find the volume of a solid where #x^2+y^2+z^2=9# is bounded in between the two planes #z+2x=2# and #z+2x=3#?
• How do you use the shell method to compute the volume of the solid obtained by rotating the region in the first quadrant enclosed by the graphs of the functions #y=x^2# and #y=2# rotated about the y-axis?
• How do you find the volume of the region bounded by #y=7-x^2#, #x=-2#, #x=2# and the x-axis that is rotated about the x-axis?
• How do you find the volume of the bounded region if #y = sinx#, #y = 0# from #x = pi/4#, #x = 3pi/4#, revolved around the y-axis?
• How do you find the volume of the solid generated by revolving this region about the y axis, #x= y^2# and #x= y+2#?
• If a region is bounded by #y = sqrt(x) + 3#, #y=5#, and the y=axis and it is revolved around the y = 7, how do you find the volume?
• Using the disk method, how do you find the volume of the solid generated by revolving about the x-axis the area bounded by the curves #x=0#, #y=0# and #y=-2x+2#?
• What is the difference between the shell method and disk method?
• How can you find the volume of a hershey kiss using the "disk method"?
• How do you find the volume of #y=2x^2#; #y=0#; #x=2# revolved about the x axis?
• How do you find the volume of the region bounded b the line #y = x-2#, the x-axis, #x=2#, and #x=4# is revolved about the line #x = -1#?
• How do you find the volume of the solid formed by revolving a particular region around the x-axis given #y=2#, #y=4-(x^2/2)# and bounded from [-2,2]?
• How do you find the volume of the region bounded by #y=x^2#, #y=4# and #x=0# and rotated about the y-axis?
• Let R be the region bounded by #y = 1/x#, #y = x^2#, #x = 0#, and #y = 2# and revolved about the x axis. How do you find the volume of rotation using: a) the method of cylindrical shells; b) the method of circular disks?
• How do you find the volume of the solid if the region in the first quadrant bounded by the curves #x=y-y^2# and the y axis is revolved about the y axis?
• Consider the solid obtained by rotating the region bounded by #y=2x#, #y=2sqrtx# about the line y = 2, how do you find the volume?
• How do you find the volume of #y = 11sinx# , #y=0#, #[ 0,pi ]# revolving about the x axis?
• How do you find the volume of the solid generated by revolving the region bounded by #y= 2x-1# #y= sqrt(x)# and #x=0# and revolve about the y-axis?
• How do you know when to use the shell method or the disk method?
• How do you find the volume of the solid bounded by #x=y^2# and the line #x=4# rotated about the x axis?
• How do you use the disk or shell method to find the volume of the solid generated by revolving the regions bounded by the graphs of #y = x^(1/2)#, #y = 2#, and #x = 0# about the line #x = -1#?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y = 9 - x^2#, #y=0#, #x=2#, #x=3# about the y-axis?
• How do you find the volume of the solid generated by revolving #y=10/x^2#, #y=0#, #x=1#, #x=5# about the y-axis?
• How do you find the volume of the torus formed by revolving #(x-2)^2 +y^2=1# about the y-axis?
• Using disk or ring method, how do you find the volume of #y=x^(2)-x#, #y=3-x^(2)#, about #y=4#?
• How do you use the disk method to find the volume of the solid formed by rotating the region bounded by #y = 2x# and #y = x^2# about the y-axis?
• How do you find the volume of #y=3/(x+1)#, #y=0#; #x=0#; #x= 8# rotated around the x-axis?
• How do you find the volume of the solid generated by revolving the region bounded by #y=2x^2#, #y=0#, #x=2#, revolving on #y=8#?
• How do you use the method of cylindrical shells to find the volume generated by rotating the region bounded by #y=e^(−x^2)#, y=0, x=0, and x=1 about the y axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #f(x) = 3x^2# and #f(x) = 5x+2 # about the x axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #x=y# and #y=sqrtx # about the line #x=2#?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #f(x)=3x^2# and #g(x)=2x+1 # about the x axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=x^3#, #y=1#and #x=2 # about the y axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y^2=4x#, #x=0# and #y=4# about the y axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=4x-x^2# and #y=2-x# about the x axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y= x^2 - 4 # and #y= 3x# and #x=0# about the y axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=x^2# and #y=2-x^2# and #x=0# about the line #x=1#?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #x=y-y^2# and the y axis rotated around the y-axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=x^2+1# and #y=-x+3# rotated around the x-axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #Y=2x# and #Y=x^2# rotated around the x-axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #x=0# and #Y=4-x^2# and #y=3x# rotated around the y-axis?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=sqrtx# and #y=x/3# rotated around the #x=-1#?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #1/(1+x^2)#, #y=0#, #x=0#, and #x=2# rotated around the #x=2#?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y = x^3#, #x=0#, and #x=1# rotated around the #y=-2#?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=x#, #x=0#, and #y=(x^2)-6# rotated around the #y=3#?
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=2x^2+5#, and #y=x+3# and the y-axis, and #x=3# rotated around the x axis?
• How do you find the volume of the region bounded above by the line #y = 16#, below by the curve #y = 16-x^2#, and on the right by the line #x = 4# about the line #y = 16#?
• How do you find the volume of the region below #y= -3x+6# and enclosed by the y-axis from 0 to 2, rotated about the x-axis?
• How do you find the volume of the region left of #y = sqrt(2x)# and below #y = 2# rotated about the y-axis?
• How do you find the volume of the region bounded #y = x²# and #y =1# is revolved about the line# y = -2#?
• How do you find the volume of the region bounded by #y=sqrt x,# and the lines #y=2# and# x=0# and it is revolved about the line #y=2#?
• How do you find the volume of the region bounded by #y=6x# #y=x# and #y=18# is revolved about the y axis?
• How do you find the volume of the region bounded by #y = (x)^(1/2)#; #y=0# and #x = 4# rotated about the x-axis?
• How do you find the volume of the region enclosed by the curves #y = x^2 - 1# and #y =0# rotated around the line #x = 5#?
• How do you find the volume of the region enclosed by the curves #y=2x#, #y=x^2# rotated about the x-axis?
• How do you find the volume of the region enclosed by the curves #y=2x#, #y=x#, and #y=4# is revolved about the y-axis?
• How do you find the volume of the region enclosed by the curves #y=2/x#, #y=0#, #x=1#, #x=3# rotated about #y=-1#?
• How do you find the volume of the region enclosed by the curves #y=x#, #y=-x#, and #x=1# rotated about the y axis?
• How do you find the volume of the region enclosed by the curves #y=x#, #y=-x#, and #x=1# rotated about #y=-1#?
• How do you find the volume of the region enclosed by the curves #y=x#, #y=-x#, and #x=1# rotated about #y=1#?
• What is the washer method formula?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=4-x^2# and #y=0# rotated about the y-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = 16 - x^2# and #0 ≤ x ≤ 4# rotated about the x-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=6x^2#, #y=6sqrtx# rotated about the y-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=x#, #0<=x<=1# rotated about the x-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=2-x#, #2<=x<=4# rotated about the x-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y= sqrt x#, #y=0# and #y=(x-3)/2# rotated about the x-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = sqrt(x)#; #y = 0#; and #x = 4# rotated about #y=6#?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region # y = x^3#, #y = 0#, #x = 2# rotated about the x axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region # y = x^3#, #y = 0#, #x = 2# rotated about the y axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=8-x^2# #y=x^2# #x=0# rotated about the y axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = sqrt(x#), #y = 0#, #y = 12 - x# rotated about the x axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=6x+7# and #y=x^2# rotated about the line #y=49#?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=x^(1/2)#, #y=0#, and #x=4# rotated about the x axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=1#, #y=x^2#, and #x=0# rotated about the line #y=2#?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #x=y^2#, #y=0#, and #y=sqr2# rotated about the x axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y= sqrt(5x)#, #x=5# rotated about the y axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=sqrt(16-x^2)# and the x axis rotated about the x axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=1/x# and #2x+2y=5# rotated about the #y=1/2#?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = cos ((pi*x)/2)#, bounded by: #y = 0#, x: [0,1] rotated about the y-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region # y = e^ (-x)#, bounded by: #y = 0#, #x = -1#, #x = 0# rotated about the #x=1#?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = 1 + x^2#, #y = 0#, #x = 0#, #x = 2# rotated about the x-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = 1 + x^2#, #y = 0#, #x = 0#, #x = 2# rotated about the y-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = 1 + x^2#, #y = 0#, #x = 0#, #x = 2# rotated about the line #y=4#?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = 1 + x^2#, #y = 0#, #x = 0#, #x = 2# rotated about the line #x=4#?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #x= y^2# #x= y+2# rotated about the y-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #x+y=6# and #x=7-(y-1)^2# rotated about the x-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=2x^2+5#, #y=x+3#, the y-axis, and the line #x=3# rotated about the x-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=x^2# and #y^2=x# rotated about the x-axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=x+2# and #y=x^2# rotated about the x axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region # y=4(x-2)^2# and #y=x^2-4x+7# rotated about the y axis?
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #x=y-y^2# and the y axis rotated about the y axis?
• How do you find the volume of the solid generated by revolving the region bounded by the lines and curves about the x-axis #y=e^(-x)#, y=0, x=0, x=1?
• How do you find the volume of the solid generated by revolving the region bounded by the curves #y=x^2#, y=0 x=2 rotated about the x-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves #y^2 = x*(4-x)^2# from x=0 to x=4 rotated about the x-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves #y=2x^2#; y=0; x=2 rotated about the x-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves #y = x-2#, the #x#-axis, #x=2#, and #x=4# rotated about the #x=-1#?
• How do you find the volume of the solid generated by revolving the region bounded by the curves y = x² and y =1 rotated about the y=-2?
• How do you find the volume of the solid generated by revolving the region bounded by the curves y = x^(1/2), y = 2, and x = 0 rotated about the x=-1?
• How do you find the volume of the solid generated by revolving the region bounded by the curves #y=x^(2)-x#, #y=3-x^(2)# rotated about the #y=4#?
• How do you find the volume of the solid generated by revolving the region bounded by the curves y=x^3 and y=x^4 rotated about the y-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves y = 2x and y = x² rotated about the y-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves y = 10 / x², y = 0, x = 1, x = 5 rotated about the x-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves y = 10 / x², y = 0, x = 1, x = 5 rotated about the y-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves x=y-y^2 rotated about the y-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves #y=2x^2 -x^3# and y = 0 rotated about the y-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the curves y = 1/x, y = x^2, x = 0, and y = 2 rotated about the x-axis?
• What is the volume of the solid produced by revolving #f(x)=1/sqrt(1+x^2)# around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=sqrt(1+x^2)# around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=sqrt(81-x^2)# around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=x^2, x in [0,4] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=sqrt(1-x), x in [0,1] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=7-x, x in [0,2] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=x^3-2x+3, x in [0,1] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=sinx, x in [0,pi] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=cosx, x in [0,pi] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=tanx, x in [0,pi/4] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=cotx, x in [pi/4,pi/2] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=sec, x in [pi/8,pi/3] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=cscx-cotx, x in [pi/8,pi/3] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=abssinx-abscosx, x in [pi/8,pi/3] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=xsinx, x in [0,pi] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=e^xsinpix, x in [0,2] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=e^x-xlnx, x in [1,5] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=xe^x-(x/2)e^x, x in [2,7] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=x^2+3x-sqrtx, x in [0,3] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=1/x, x in [1,4] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=1/(x-1)-1/(x-2), x in [3,4] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=1/x-1/x^2, x in [2,6] #around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=5x, x in [0,7] #around the x-axis?
• Let R be the region enclosed by f(x) = x^2 + 2 and g(x) = (x - 2)^2. What is the volume of the solid produced by revolving R around the x-axis and then the y-axis?
• How do you determine the volume of a solid created by revolving a function around an axis?
• If R is the area enclosed by f(x) and g(x), is the volume of the solid generated by revolving R around the x-axis then revolving that solid around the y-axis equal to the volume of the solid generated if the order of the revolutions was switched?
• What is the volume obtained by rotating the region enclosed by #y=11-x#, #y=3x+7#, and #x=0# about the y-axis?
• What is the volume of the solid produced by revolving #f(x)=x^3, x in [0,3] #around #y=-1#?
• Let R be the region enclosed by #f(x) = sinx, g(x) =1-x, and x=0#. What is the volume of the solid produced by revolving R around the x-axis?
• What is the volume of the solid produced by revolving #f(x)=x^2-x+1, x in [1,3] #around #x=1#?
• Let R be the region enclosed by #y= e^(2x), y=0, and y=2#. What is the volume of the solid produced by revolving R around the x-axis?
• What is the area under #y=(x+4)/x# between #x=1# and #x=4#?
• Question #f604d
• Question #8be27
• Question #f0ea3
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis given #y=16x-x^2#, x=0, and y=64?
• How do you find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line: y= x, #y = sqrt(x)#; about x = 2?
• How do you find the volume of the region bounded by #y=sqrt x#, y=0, x=0, and x=4 is revolved about the x-axis?
• How do you find the volume of solid formed by rotating the region bounded by the graphs: #y=sqrt(x)+5#; y=5; x=1; and x=0; around y=2?
• How do you find the volume of region bounded by graphs of #y = x^2# and #y = sqrt x# about the x-axis?
• How do you find volume by rotating area enclosed by #y=x^3# and #y=sqrt(x)# about x=1?
• How do you find the volume of the solid obtained by rotating the region bounded by: #y=sqrt(x-1)#, y=0, x=5 rotated about y=7?
• How do you find the volume of the solid generated by revolving the graph of a function #f(x)# around a point on the x-axis?
• How do you find the volume of the solid generated by revolving the plane region bounded by the graphs of #x^2 = y - 2# and 2y - x -2 = 0 about the line y =3 with x =0, x=1?
• How do you find the volume of #y=x^2# going from [0, 2] on the x-axis and [0, 4] on the y-axis?
• How do you find the volume bounded by #y = 2x^(1/2)#, the line y = 2 and x = 4 revolved about y=2?
• How do you find the volume bounded by #y = 12 ln x#, the x-axis, the y-axis and the line y=12 ln14 revolved about the y-axis?
• How do you find the volume bounded by #y=x^2#, #x=y^2# revolved about the x=-1?
• How do you find the volume bounded by x = 1, x = 2, y = 0, and #y = x^2 # revolved about the x-axis?
• How do you find the volume bounded by #y = x^3#, y = -x, and y =1 revolved about the x=1?
• How do you find the volume bounded by #y = 2x^2#, #y = 2x –3#, x + 1 = 0 and x = 2 revolved about the x=4?
• How do you find the volume bounded by y=x+2, y=-x-2 and x=0 revolved about the x=-2?
• How do you find the volume bounded by #y=e^(2x)#, the y-axis and the line y=2 revolved about the x=axis?
• How do you find the volume bounded by #y = e^x# , y=0 , x = 0, x = ln2 revolved about the x=axis?
• How do you find the volume bounded by #y=(x^3)/3#, x=1, and the x-axis revolved about the x=axis?
• How do you find the volume bounded by #y=3-x^2# and y=2 revolved about the y=2?
• How do you find the volume bounded by #y^2=x^3-3x^2+4# & the lines x=0, y=0 revolved about the x-axis?
• How do you find the volume bounded by #x=2y-y^2# and the line x=0 revolved about the y-axis?
• How do you find the volume bounded by #x^2=4y# and the line x=2y revolved about the x-axis?
• How do you find the volume bounded by #x=8-y^2# and #x=y^2# revolved about the y-axis?
• How do you find the volume bounded by #x-8y=0# & the lines #x+2y# revolved about the y-axis?
• How do you find the volume bounded by #y^2=x^3# and #y=x^2# revolved about the y-axis?
• How do you find the volume bounded by #x^2y^2+16y^2=6# and the x & y axes, the line x=4 revolved about the x-axis?
• How do you find the volume bounded by #y=e^x# and the lines y=0, x=1, x=2 revolved about the y-axis?
• How do you find the volume bounded by #y=ln(x)# and the lines y=0, x=2 revolved about the y-axis?
• How do you find the volume bounded by #f(x) = x^2 + 1# and #g(x) = x + 3# revolved about the x-axis?
• How do you find the volume bounded by #y=x^2# and the line #y=16# revolved about the y=16?
• How do you find the volume bounded by #y=(x + 1)^.5# and the line x=3 revolved about the x-axis?
• How do you find the volume bounded by y=1 and #y=x^2# revolved about the y=1?
• How do you find the volume bounded by #y=sqrt(x + 1)#, x = 0, x = 3, and y = 0 revolved about the x-axis?
• How do you find the volume bounded by #y=sqrtx# and the lines y=0 and x=4 revolved about the y=-1?
• Question #b4645
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #x=sqrt(y)#, x=0, y=4 about the x-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=6sin(5x^2)#, between #0# and #sqrt(pi/5)# revolved about #Ox#?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=x^6# and #y=sin((pix)/2)# is rotated about the line x=-4?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y=1/x, y=0, x=1, and x=2 about the y-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=5e^(x)# and #y=5e^(-x)#, x = 1, about the y axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=x^3#, x=1, y=0 revolved about the y-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=8 sqrt x#, y=0, x=1 revolved about the x=-4?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y^2=4x#, x=y revolved about the y-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=5x^2#, y=5x revolved about the x-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y^2=8x# and x=2 revolved about the x=4?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y =1/(x^2+1)#, x=0, x=1, y=0 revolved about the y-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=f(x)=3x-x^2# and x axis revolved about the x=-1?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y = 2 x^4#, y = 0, x = 1 revolved about the x=2?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y = 1/x^4#, y = 0, x = 1, x = 4 revolved about the x=-4?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y = x^3#, y=0 , x=1 revolved about the y=1?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=x^2#, x = 2, x = 7, y = 0 revolved about the x=8?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #x=4y^2#, y = 1, x = 0 revolved about the y-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y = 15e−x^2#, y = 0, x = 0, x = 1 revolved about the y-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y =2/x#, y=0, x(1)=1 , x(2)=6 revolved about the y-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=e^x#, x=0, and y=pi revolved about the x-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y =x^3#, y= 8 , x= 0 revolved about the x-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=8-x^2#, #y=x^2# revolved about the x=2?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y = 32 - x^2# and #y= x^2# revolved about the x=4?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=x^2#, y=2-x x=0 revolved about the y-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=4x-x^2#, y=3 revolved about the x=1?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #125 y = x^3# , y = 8 , x = 0 revolved about the x-axis?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #27y=x^3#, y=0 , x=6 revolved about the y=8?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y = 2 - (x^2)# and #y = x^2# revolved about the x=1?
• How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y=3x^4#, y=0, x=2 revolved about the x=4?
• From a unit sphere, the part between two parallel planes equidistant from the center, and with spacing 1 unit in-between, is removed. The remaining parts are joined together face-to-face, precisely. How do you find the volume of this new solid?
• Find the volume of the region bounded by y=sqrt(z-x^2) and x^2+y^2+2z=12?
• A region on the complex plane is formed by all complex numbers z such that lz-3il>=5 AND Re(z)<=5 AND Im(z)>=0 AND Im(z)<=3 Draw region on an Argand diagram and find the volume of the solid formed when the region is rotated about the imaginary axis?
• How do you find the volume of the solid #y=-x+1# revolved about the x-axis?
• How do you find the volume of the solid #y=4-x^2# revolved about the x-axis?
• How do you find the volume of the solid #y=sqrt(9-x^2)# revolved about the x-axis?
• How do you find the volume of the solid #y=x^2, y=x^3# revolved about the x-axis?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=2x^2, y=0, x=2#, about the x-axis, y-axis, the line y=8, the line x=2?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=x^2, y=4x-x^2#, about the x-axis, the line y=3?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=x, y=0, y=4, x=6#, about the line x=6?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #x=y^2, x=4#, about the line x=6?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #xy=6, y=2, y=6, x=6#, about the line x=6?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=1/x, y=0, x=1, x=4#, about the x axis?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=3/(x+1), y=0, x=0, x=8#, about the x axis?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=e^-x, y=0, x=0, x=1#, about the x axis?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=e^(x/2), y=0, x=0, x=4#, about the x axis?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=x^2+1, y=-x^2+2x+5, x=0, x=3#, about the x axis?
• How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=3(2-x), y=0, x=0#, about the y axis?
• If #f (x)= x^2+ 1# , how do you find the volume of the solid generated by revolving the region under graph of f from x=-1 to x=1 about the x- axis?
• Question #75ad4
• What is the Volume of Revolution if the area bounded by the curve #y=x^2-4x# and the #x#-axis is is rotated about the #x#-axis?
• Question #c1f8f
• Question #e3d0f
• Question #3d4ae
• Question #f4400
• Equilateral hexagon is revolving around one of its edges. Find the volume of the solid of revolution?
• How do I find the volume of the solid generated by revolving the region bounded by #y=x^2#, #y=0#, and #x=2# about the #x#-axis? The #y#-axis?
• How do I find the volume of the solid generated by revolving the region bounded by #y=e^x# and #y=4x+1# about the #x#-axis? The line #y=12#?
• Question #a8fc5
• How do you find the volume of the solid obtained by rotating the region bound by the curve and #y=x^2+1# and #x#-axis in the interval #(2,3)#?
• I really don't understand this calculus 2 problem?
• Question #9747d
• Question #3755d
• Question #ae4f3
• Question #8f07d
• The area under the curve #y=1/x# from #x=8# to #x=10# is revolved about the #x#-axis. What is the volume of the solid formed?
• Question #9a442
• Question #6a05f
• A Sphere of radius #2a# has a hole of radius #a# drilled through the centre. What is the remaining volume?
• Question #526a3
• Question #25f2e
• Question #1a9c1
• Question #ae1b1
• #f:RR->RR;f(x)=e^x-x-1;g:[0,1]->RR;g(x)=f(x)+x#.How to calculate the volume of the body obtained by rotating the graph of the function "g" axis OX?
• Describe the solid whose volume is represented by #int_(0)^(3) (2pi x^5)dx#. ?
• Find the volume of the solid via cross-sections?
• Cylindrical shells (parts in details)?
• Y=sqrt(x), y=0, x=0,and x=2 a. Find the area of the region b. find the volume of the solid formed by rotating the region about the x-axis c. find the volume of the solid?
• Find the volume using cylindrical shells? (Enclosed by x-axis and parabola #y=3x-x^2#, revolved about #x=-1#)