An ellipsoid has radii with lengths of #4 #, #9 #, and #5 #. A portion the size of a hemisphere with a radius of #5 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

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Answer 1 · 2016-08-14T16:11:59

#=492.2#

The Volume of an Ellipsoid with radii #=4,9 and 5#

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

#=pi/6(2times9)(2times4)(2times5)#

#=pi/6(18times8times10)#

#=240pi#

#=754#

Volume of an Hemisphere#=2/3(pir^3)# where #r=5# is the radius
#=2/3pi(5)^3#

#=2/3pitimes125#

#=(250pi)/3#

#=261.8#

So the remaining volume of the Ellipsoid

#=754-261.8#

#=492.2#