An ellipsoid has radii with lengths of #5 #, #12 #, and #7 #. 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 · 2016-08-16T12:55:16

#=1307#

The Volume of an Ellipsoid with radii #=5,12 and 7#

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

#=pi/6(2times12)(2times5)(2times7)#

#=pi/6(24times10times14)#

#=560pi#

#=1759.3#

Volume of an Hemisphere#=2/3(pir^3)# where #r=6# is the radius
#=2/3pi(6)^3#

#=2/3pitimes216#

#=144pi#

#=452.4#

So the remaining volume of the Ellipsoid

#=1759.3-452.4#

#=1307#