An ellipsoid has radii with lengths of #8 #, #2 #, and #5 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

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Answer 1 · 2017-02-16T15:50:06

The remainng volume is #=318.3 u^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*8*2*5-2^3)#

#=2/3pi(160-8)#

#=2/3pi*152#

#=318.3#