An ellipsoid has radii with lengths of #12 #, #16 #, and #7 #. 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 · 2017-01-29T11:02:56

The volume is #=4557.4 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*16*7-8^3)#

#=2/3pi(2688-512)#

#=2/3pi*2176#

#=4557.4#