An ellipsoid has radii with lengths of #14 #, #4 #, and #6 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-01-22T13:50:57

The remaining volume is #=1328/3pi#

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*14*4*6-2^3)#

#=2/3pi(672-8)#

#=2/3pi*664#

#=1328/3pi#