An ellipsoid has radii with lengths of #5 #, #8 #, and #8 #. 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?

1 Answer
Deepak G.
Aug 10, 2016

#=1283.85#

Explanation:

The Volume of an Ellipsoid with radii #=5,8 and 8#
#=pi/6times#(major-axis)#times#(minor axis)#times#(vertcal-axis)
#=pi/6(2times8)(2times5)(2times8)#
#=pi/6(16times10times16)#
#=426.67pi#
#=1340.4#
Volume of an Hemisphere#=2/3(pir^3)# where #r=3# is the radius
#=2/3pi(3)^3#
#=2/3pi(27)#
#=18pi#
#=56.55#
So the remaining volume of the Ellipsoid
#=1340.4-56.55#
#=1283.85#

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