An ellipsoid has radii with lengths of #8 #, #9 #, and #7 #. 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?

Question

1149 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-18T12:19:30

The remaining volume is #=2054.6u^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*8*9*7-3^3)#

#=2/3pi(1008-27)#

#=2/3pi*981#

#=2054.6#