An ellipsoid has radii with lengths of #2 #, #2 #, and #1 #. 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 · 2016-08-14T15:56:51

#=14.65#

The Volume of an Ellipsoid with radii #=2,2 and 1#

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

#=pi/6(2times2)(2times1)(2times2)#

#=pi/6(4times2times4)#

#=(16pi)/3#

#=16.75#

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

#=2/3pi#

#=0.67pi#

#=2.1#

So the remaining volume of the Ellipsoid

#=16.75-2.1#

#=14.65#