An ellipsoid has radii with lengths of 5 , 4 , and 8 . 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?

1 Answer
Aug 14, 2016

=613.65

Explanation:

The Volume of an Ellipsoid with radii =5,4 and 8

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

=pi/6(2times8)(2times4)(2times5)

=pi/6(16times8times10)

=(640pi)/3

=670.2

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

=2/3pitimes27

=18pi

=56.55

So the remaining volume of the Ellipsoid

=670.2-56.55

=613.65