An ellipsoid has radii with lengths of #6 #, #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 · 2016-08-12T19:01:51

#=471.3#

The Volume of an Ellipsoid with radii #=6,7 and 3#

#=pi/6times#(major-axis)#times#(minor axis)#times#(vertcal-axis)

#=pi/6(2times7)(2times3)(2times6)#

#=pi/6(14times6times12)#

#=168pi#

#=527.8#

Volume of an Hemisphere#=2/3(pir^3)# where #r=3# is the radius
#=2/3pi(3)^3#

#=2/3pi(27)#

#=18pi#

#=56.5#

So the remaining volume of the Ellipsoid

#=527.8-56.5#

#=471.3#