• Support PF! Buy your school textbooks, materials and every day products Here!

Shell's Method: Solids of Rotation, Torus

  • Thread starter teken894
  • Start date
25
0
1. Homework Statement

Volume of Torus: using Shell's mehod

[tex] 4\pi \int^{1}_{-1}((R-x) \sqrt{r^2 - x^2})dx [/tex]

2. Homework Equations



3. The Attempt at a Solution

I don't know how to integrate this at all. I cannot use any conventional methods...or I can't think of a way... i.e. use isolate a function as u and try to integrate wrt du

Is the only way to distribute the equation first?
 
Last edited:

Answers and Replies

112
0
try trig substitution, e.g. x=rcost or x=rsint. i did not complete it myself but that should work. after that you may need to do integration by parts. don't forget dx changes too, as does -1 and 1.
 
Last edited:

Related Threads for: Shell's Method: Solids of Rotation, Torus

  • Last Post
Replies
9
Views
21K
Replies
1
Views
1K
Replies
1
Views
651
  • Last Post
Replies
1
Views
794
Replies
3
Views
2K
Replies
1
Views
1K
Replies
8
Views
1K
Replies
5
Views
8K
Top