An ellipsoid has radii with lengths of #6 #, #5 #, and #3 #. A portion the size of a hemisphere with a radius of #1 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2016-08-12T19:06:57

#=375#

The Volume of an Ellipsoid with radii #=6,5 and 3#

#=pi/6times#(major-axis)#times#(minor axis)#times#(vertcal-axis)

#=pi/6(2times6)(2times3)(2times5)#

#=pi/6(12times6times10)#

#=120pi#

#=377#

Volume of an Hemisphere#=2/3(pir^3)# where #r=1# is the radius
#=2/3pi(1)^3#

#=2/3pi#

#=2#

So the remaining volume of the Ellipsoid

#=377-2#

#=375#