An ellipsoid has radii with lengths of 12 12, 11 11, and 8 8. A portion the size of a hemisphere with a radius of 9 9 is removed from the ellipsoid. What is the remaining volume of the ellipsoid?
1 Answer
The remaining volume is
Explanation:
The formula for the volume of an ellipsoid where the three radii are represented by
In the given case:
The formula for volume of a hemisphere is:
In the given case:
We need to determine the volume of the ellipsoid when the hemisphere is removed from it, which is;
Simplify the brackets.
Considering