- #1
badtwistoffate
- 81
- 0
Homework Statement
Trying to either derive or find a formula for the volume given by the space carved out from
the area between an arc and the center of a circle. Essentially, the area between an arc and the center of a circle rotated 360 degrees, almost a cone shape with the upper boundary being that of a circular arc.
Homework Equations
area between an arc and the center of a circle = .5 r2θ
volume of a circular cone = (1/3) pi r2 h
The Attempt at a Solution
Not really sure where to start. A web search reveals many formulas for volumes but none for this situation - surprising to me. I imagine a circle first and then a sphere carving out that volume from the area between an arc and the center of the circle. Attached is a pic to help explain. Any guidance?
Last edited: