Question

What is the triple integral using cylindrical coordinates of a solid cylinder with height H?

Answer 1

Umm ok let's see if we can draw this out.
So in cylindrical coordinates, we're integrating in theta, the radius, and upwards in z.

So in the direction of our radius, we're integrating from the center, out to the value of the radius R.

Answer 2

In theta, we're integrating over one full rotation.