Find the volume of the region in $\displaystyle \mathbb{R}^3$ that is bounded by the paraboloid $\displaystyle z=x^2+y^2$, the cylinder $\displaystyle x^2+y^2=1$ and the plane $\displaystyle z=0$.

Do I need to work out $\displaystyle \int_0^1 \int_0^{\sqrt{1-x^2}} \int_0^{x^2+y^2}~dz~dy~dx$?