How Do You Calculate the Volume of a Torus?

[stonecoldgen]

A torus is generated by rotating the circle x<sup>2[/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 I am not sure.

Thanks.

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

 

[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...

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