Question

An ellipsoid has radii with lengths of `5`, `8`, and `8`. A portion the size of a hemisphere with a radius of `3` is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

Answer 1

`=1283.85`

Explanation:

The Volume of an Ellipsoid with radii `=5,8 and 8`
`=pi/6times`(major-axis)`times`(minor axis)`times`(vertcal-axis)
`=pi/6(2times8)(2times5)(2times8)`
`=pi/6(16times10times16)`
`=426.67pi`
`=1340.4`
Volume of an Hemisphere`=2/3(pir^3)` where `r=3` is the radius
`=2/3pi(3)^3`
`=2/3pi(27)`
`=18pi`
`=56.55`
So the remaining volume of the Ellipsoid
`=1340.4-56.55`
`=1283.85`