# Volume Integral

Use an appropriate volume integral to find an expression for the volume enclosed between a sphere of radius 1 centered on the origin and a circular cone of half-angle alpha with its vertex at the origin. Show that in the limits where alpha = 0 and alpha = pi that your expression gives the expected values.

Any ideas or clues? Where alpha = pi I think the volume will be half the volume of the sphere.

## Answers and Replies

fresh_42
Mentor
that's actually very helpful, thanks

Mark44
Mentor
Use an appropriate volume integral to find an expression for the volume enclosed between a sphere of radius 1 centered on the origin and a circular cone of half-angle alpha with its vertex at the origin. Show that in the limits where alpha = 0 and alpha = pi that your expression gives the expected values.

Any ideas or clues? Where alpha = pi I think the volume will be half the volume of the sphere.
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