An ellipsoid has radii with lengths of #9 #, #7 #, and #3 #. A portion the size of a hemisphere with a radius of #3 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-02-12T08:47:55

The remaining volume is #=735.1u^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*9*7*3-3^3)#

#=2/3pi(378-27)#

#=2/3pi*351#

#=735.1#