An ellipsoid has radii with lengths of #5 #, #12 #, and #8 #. A portion the size of a hemisphere with a radius of #7 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

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Answer 1 · 2016-08-14T15:03:45

#=1292.24#

The Volume of an Ellipsoid with radii #=5,12 and 8#

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

#=pi/6(2times12)(2times5)(2times8)#

#=pi/6(24times10times16)#

#=640pi#

#=2010.62#

Volume of an Hemisphere#=2/3(pir^3)# where #r=7# is the radius
#=2/3pi(7)^3#

#=2/3pitimes343#

#=228.67pi#

#=718.4#

So the remaining volume of the Ellipsoid

#=2010.62-718.4#

#=1292.24#