Need help, can someone explain cylindrical shell method for volume?

timm3r
Messages
10
Reaction score
0
im stuck and my book doesn't explain much on how to get the volume of a shape by the cylindrical shell method. What i really need is to show how to get the general formula of a volume of a sphere and a cone using cylindrical shells.
 
Physics news on Phys.org
http://pages.pomona.edu/~sg064747/teaching/F06-31/Lecture/F06-31-Lecture08.pdf
 
Last edited by a moderator:
wow thanks for the quick response,
 
I would also like to have it explain to me but the website given is out of order.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top