Finding the Mass of a Solid in 3d

[c.dube]

Homework Statement

Find the mass of the solid bounded by the cylinder x^2+y^2=2x and the cone z^2=x^2+y^2 if the density is \delta = \sqrt{x^2+y^2}

[b2. The attempt at a solution[/b]
I had some trouble looking at how to set up the limits on this integral. What I came up with was:
2 \int_0^2 \int_0^{\sqrt{2x^2+2x}} \int_0^{\sqrt{x^2+y^2}} \sqrt{x^2+y^2} dzdydx
= 2 \int_0^2 x^2\sqrt{x^2+y^2} + ((\sqrt{x^2+y^2})^3)/3 dx
And this is just an ugly integral. I tried doing it in cylindrical coordinates but it wasn't working out terribly well that way either. Any hints? Thanks!

 

[c.dube]

Nevermind, I got an answer. Can anyone confirm 6\pi?