Find the volume of the region bounded by the cone $\displaystyle x^2 + y^2 = z^2~ (z \ge 0)$ and the paraboloid $\displaystyle z =2x^2 + 2y^2$.

------

I'm having a hard time even visualising the integration region. The following is my attempt to plot the paraboloid (in blue) and the cone (in brown) from x=-1..1 and y=-1..1.

Would I do this in rect-coords or cylindrical or what?