Calculating Volume Enclosed by Cylinder: A Challenge

[raghav]

Homework Statement

Find the volume enclosed between the by the cylinder $$x^2 + y^2 = 2ax$$ and $$z^{2} = 2ax$$

Homework Equations

The Attempt at a Solution

The problem can be done by evaluating the triple integral $$\int \int \int dxdydz$$, but i am not able to visualise how the second one is a cylinder. can someone please help?

 

[Dick]

The second one isn't a cylinder. It's a paraboloid.