An ellipsoid has radii with lengths of #8 #, #7 #, and #6 #. A portion the size of a hemisphere with a radius of #5 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-02-05T07:51:03

The volume is #=1145.6 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*8*7*6-5^3)#

#=2/3pi(672-125)#

#=2/3pi*547#

#=1145.6#