Homework Statement
Use Cavalieri's Principle to find the volume of a spherical segment of one base and thinckness h if the radius of the sphere is r.
Homework Equations
http://img395.imageshack.us/img395/2826/sphere1.jpg [Broken]
Volume of half-sphere: 2/3\pir2
Volume of cone inverse to...
the best i can do so far is to think of a cone with base radius (r-h) and height (h), where the inverse of such cone should be the volume of the spherical segment. but that is incorrect.
however, i am pretty sure that this is the right track.
I have a problem in a math book that says "Use Cavalieri's Principle to find the volume of a spherical segment of one base and thickness h if the radius of the sphere is r."
I believe it looks like this:
http://img395.imageshack.us/img395/2826/sphere1.jpg [Broken]
how do i solve it?