(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use cylindrical shells to find the volume of a torus with radii r and R.

2. Relevant equations

V= ∫[a,b] 2πxf(x)dx

y= sqrt(r^{2}- (x-R)^{2})

3. The attempt at a solution

V= ∫ [R, R+r] 2πx sqrt(r^{2}- x^{2}- 2xR + R^{2}) dx

I feel like this isn't going in the right direction, though. I found a different post about the same question, but that person was using disks, and the volume was 2π^{2}r^{2}R, and I can't see where the π^{2}would come from in my equation, so I think I'm going about this incorrectly. Any help is much appreciated, thanks.

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# Cylindrical shells to find volume of a torus

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