# Math Help - Volume of three intersecting cylinders

1. ## Volume of three intersecting cylinders

Hi.
I've been asked to find the volume of the region bounded by the 3 inequalities $x^2+y^2. This is, three cylinders of radius r. Using a triple integral to find the body seems to be the 'natural way', but I can't see how to calculate
$\iiint \left[x^2+y^2

Thanks!

2. As a starting point, look at equation (19) on this page. The pictures between equations (17) and (18) on that page illustrate how the integral is formed.

3. So the answer is $8(2-\sqrt{2})r^3$?