1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Shell's Method: Solids of Rotation, Torus

  1. Jan 16, 2007 #1
    1. The problem statement, all variables and given/known data

    Volume of Torus: using Shell's mehod

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

    2. Relevant 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: Jan 16, 2007
  2. jcsd
  3. Jan 16, 2007 #2
    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: Jan 16, 2007
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook