An ellipsoid has radii with lengths of #2 #, #1 #, and #1 #. A portion the size of a hemisphere with a radius of #1 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2017-02-14T13:34:47

The remaining volume is #=6.28u^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*2*1*1-1^3)#

#=2/3pi(4-1)#

#=2/3pi*3#

#=6.28#