# Volume enclosed by a torus

1. Aug 9, 2012

### stonecoldgen

A torus is generated by rotating the circle x2[/SUP+(y-R)2=r2

Find the volume enclosed by the torus.

Well, I don't know what to do! I thought that rewritting it as

$\sqrt{r2-x2}$+R

would help, but im not sure.

Thanks.

PD: Is this solid revolutions? because I forgot how to do it...(any refresher????)

2. Aug 9, 2012

### e^(i Pi)+1=0

For integration parallel with axis of rotation...

$\Pi \int^b_a [f(x)]^2$

for integration perpendicular to axis of rotation...

$2\Pi \int^b_a xf(x)$