An ellipsoid has radii with lengths of #8 #, #6 #, and #5 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

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Answer 1 · 2016-08-28T13:21:33

#=988.54#

The Volume of an Ellipsoid with radii #=8,6 and 5#

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

#=pi/6(2times8)(2times5)(2times6)#

#=pi/6(16times10times12)#

#=320pi#

#=1005.3#

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

#=2/3pitimes8#

#=16/3pi#

#=16.76#

So the remaining volume of the Ellipsoid

#=1005.3-16.76#

#=988.54#