An ellipsoid has radii with lengths of 2 , 4 , and 5 . A portion the size of a hemisphere with a radius of 2 is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

1 Answer
Aug 9, 2016

=150.8

Explanation:

The Volume of an Ellipsoid with radii =2,4 and 5
=pi/6times(major-axis)times(minor axis)times(vertcal-axis)
=pi/6(2times2)(2times4)(2times5)
=pi/6(4times8times10)
=53.33pi
=167.55
Volume of an Hemisphere=2/3(pir^3) where r=2 is the radius
=2/3pi(2)^3
=2/3pi(8)
=16/3pi
=16.75
So the remaining volume of the Ellipsoid
=167.55-16.75
=150.8