An ellipsoid has radii with lengths of #2 #, #4 #, and #5 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer
Deepak G.
Aug 9, 2016

#=150.8#

Explanation:

The Volume of an Ellipsoid with radii #=2,4 and 5#
#=pi/6times#(major-axis)#times#(minor axis)#times#(vertcal-axis)
#=pi/6(2times2)(2times4)(2times5)#
#=pi/6(4times8times10)#
#=53.33pi#
#=167.55#
Volume of an Hemisphere#=2/3(pir^3)# where #r=2# is the radius
#=2/3pi(2)^3#
#=2/3pi(8)#
#=16/3pi#
#=16.75#
So the remaining volume of the Ellipsoid
#=167.55-16.75#
#=150.8#

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