An ellipsoid has radii with lengths of #2 #, #8 #, and #5 #. 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 · 2017-01-30T06:38:18

The volume is #=278.6 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*2*8*5-3^3)#

#=2/3pi(160-27)#

#=2/3pi*133#

#=278.6#