Hi -- first, I'm very sorry if this is the wrong section to post in; I'm taking a history of math class so I'm not sure if this really fits in. My apologies.

Basically, my problem is: take a sphere intersected by 2 parallel planes, and show what the surface area of the sphere between those planes equals.

This website: Archimedes on Spheres and Cylinders

talks about the particular problem about halfway down the page, but I have to use the "exhaustion method" and not calculus, and I'm not really sure how to do that.

Any help would be greatly appreciated!