Almost right. We have , so since .
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