Hi.

I've been asked to find the volume of the region bounded by the 3 inequalities . 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

Thanks!

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- Feb 6th 2010, 11:14 AMDavidErikssonVolume of three intersecting cylinders
Hi.

I've been asked to find the volume of the region bounded by the 3 inequalities . 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

Thanks! - Feb 6th 2010, 01:06 PMOpalg
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.

- Feb 7th 2010, 12:27 AMDavidEriksson
So the answer is ?