An ellipsoid has radii with lengths of #6 #, #6 #, and #12 #. A portion the size of a hemisphere with a radius of #5 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer
Deepak G.
Aug 10, 2016

#=1547.76#

Explanation:

The Volume of an Ellipsoid with radii #=6,6 and 12#
#=pi/6times#(major-axis)#times#(minor axis)#times#(vertcal-axis)
#=pi/6(2times12)(2times6)(2times6)#
#=pi/6(24times12times12)#
#=576pi#
#=1809.56#
Volume of an Hemisphere#=2/3(pir^3)# where #r=5# is the radius
#=2/3pi(5)^3#
#=2/3pi(125)#
#=250/3pi#
#=261.8#
So the remaining volume of the Ellipsoid
#=1809.56-261.8#
#=1547.76#

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