An ellipsoid has radii with lengths of #9 #, #8 #, and #10 #. 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?

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Answer 1 · 2016-08-13T08:43:57

#=2754.2#

The Volume of an Ellipsoid with radii #=9,8 and 10#

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

#=pi/6(2times10)(2times8)(2times9)#

#=pi/6(20times16times18)#

#=960pi#

#=3016#

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

#=2/3pitimes125#

#=83.34pi#

#=261.8#

So the remaining volume of the Ellipsoid

#=3016-261.8#

#=2754.2#