# help me to find the volume of the ice cream cone!

Consider the solid shaped like an ice cream cone that is bounded by the functions and Set up an integral in polar coordinates to find the volume of this ice cream cone.

I tried to set up the integral but i have not got any write answer!

$z^2=x^2+y^2$ is a cone, and the other one is a sphere.
$$\int\limits_{0}^{2\pi}\int\limits_{0}^{4}\int\limits_{r}^{\sqrt{32-r^2}} r \cdot dz\,dr\,d\theta$$