An ellipsoid has radii with lengths of #6 #, #8 #, and #12 #. A portion the size of a hemisphere with a radius of #3 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

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Answer 1 · 2017-02-16T17:11:20

THe remaining volume is #=2356.2u^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*6*8*12-3^3)#

#=2/3pi(1152-27)#

#=2/3pi*1125#

#=2356.2#