Hey guys,

I am having a small doubt on which I need some advise. There's this question which asks me to calculate the mass of volume within the cylinder r=2cos\theta which is bounded up by paraboloid z=r^2 and below by plane z=0. Its density is constant.

Here's what I think:

1. I need to use triple integral

2. z goes from 0 to r^2, r goes from 0 to 2cos\theta and theta from 0 to pi.

Are my points correct?

Thanks in advance