An ellipsoid has radii with lengths of #3 #, #4 #, and #1 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

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Answer 1 · 2017-02-10T09:26:58

The remaining volume is #=33.5 u^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*4*1-2^3)#

#=2/3pi(24-28)#

#=2/3pi*16#

#=33.5#