An ellipsoid has radii with lengths of #6 #, #5 #, and #9 #. A portion the size of a hemisphere with a radius of #6 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-04-07T05:42:22

The remaining volume is #=678.6u^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*6*5*9-6^3)#

#=2/3pi(540-216)#

#=2/3pi*324#

#=678.6#