An ellipsoid has radii with lengths of #14 #, #12 #, and #6 #. A portion the size of a hemisphere with a radius of #9 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-02-12T10:44:28

The answer is #=2695.5u^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*14*12*6-9^3)#

#=2/3pi(2016-729)#

#=2/3pi*1287#

#=2695.5#