An ellipsoid has radii with lengths of #12 #, #16 #, and #8 #. A portion the size of a hemisphere with a radius of #8 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2016-08-13T12:47:01

#=5361.67#

The Volume of an Ellipsoid with radii #=12,16 and 8#

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

#=pi/6(2times16)(2times8)(2times12)#

#=pi/6(32times16times24)#

#=2048pi#

#=6434#

Volume of an Hemisphere#=2/3(pir^3)# where #r=8# is the radius
#=2/3pi(8)^3#

#=2/3pitimes512#

#=341.34pi#

#=1072.34#

So the remaining volume of the Ellipsoid

#=6434-1072.34#

#=5361.67#