An ellipsoid has radii with lengths of #12 #, #11 #, and #8 #. A portion the size of a hemisphere with a radius of #8 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-02-06T15:42:22

The volume is #=4289.3 u^3#

Volume of ellipsoid is #=4/3piabc#

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

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

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

#=2/3pi(2*12*11*8-8^3)#

#=2/3pi(2112-64)#

#=2/3pi*2048#

#=4289.3#