Triple integrals.

[Gramsci]

Homework Statement

Integrate
$$\int_D z dxdydz$$ where D is $$z\geq 0, z^2*\geq 2x^2+3y^2-1, x^2+y^2+z^2 \leq 3$$

Homework Equations

Spherical coordinates? I'm stuck. I have problems finding the boundaries of integration.

The Attempt at a Solution

None. I'd be most grateful for help.