Calculating volumes

1. Apr 17, 2012

Miike012

I am trying to find proofs on the internet of how cylindrical shells disks work but I can't find any. Are there any proofs out there?

2. Apr 17, 2012

Dick

3. Apr 17, 2012

Miike012

I typed in cylindrical shells proof and proof of cylindrical shells...

4. Apr 17, 2012

Miike012

I would like an actual proof of how it works...
Most of the websites just give formulas and explain how to calculate the volume but thats not a proof.

5. Apr 17, 2012

Dick

Well, that is a little bit of a problem. You can find proofs that, say the method of cylindrical shells and the method of disks give you the same answer. To PROVE that that is volume you'll need a rigorous mathematical definition of volume. What is it? I'm not sure it would be useful to you at a calculus level.