An ellipsoid has radii with lengths of #9 #, #16 #, and #4 #. 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 · 2017-03-02T07:35:44

The remaining volume is #=1340.4u^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*9*16*4-8^3)#

#=2/3pi(1152-512)#

#=2/3pi*640#

#=1340.4#