An ellipsoid has radii with lengths of 6, 7, and 3. 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 12, 2016

=471.3

Explanation:

The Volume of an Ellipsoid with radii =6,7and3

=π6×(major-axis)×(minor axis)×(vertcal-axis)

=π6(2×7)(2×3)(2×6)

=π6(14×6×12)

=168π

=527.8

Volume of an Hemisphere=23(πr3) where r=3 is the radius
=23π(3)3

=23π(27)

=18π

=56.5

So the remaining volume of the Ellipsoid

=527.856.5

=471.3