An ellipsoid has radii with lengths of #3 #, #1 #, and #3 #. 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?

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Answer 1 · 2017-03-03T17:53:54

The remaining volume is #=20.9u^3#

Volume of ellipsoid is #=4/3piabc#

Volume of hemisphere is #=2/3pir^3#

Remaining volume #=4/3piabc-2/3pir^3#

#=2/3pi(2abc-r^3)#

#=2/3pi(2*3*1*3-2^3)#

#=2/3pi(18-8)#

#=2/3pi*10#

#=20.9#