Sphere and cylinder intersection

[s.py]

Hi,

Recently i tried (and failed) to calculate the intersection volume of a sphere and a cylinder.

I found this simple problem seems not so simple for me. Searching on the web, nothing on that, so if someone can help me thank you.

(the simplified solution with the intersection area of a disk and the area delimited by two paralleles could help me too)

s.pierre-yves

 

[pomaranca]

You can easily calculate the volume with a Monte-Carlo integration.

 

[ojs]

Have a look at example 7 chapter 15.6 in the third edition of Calculus by Robert A. Adams (should be in newer editions as well, but then the example number and chapter number could be different), it's exactly this kind of problem.