I come across on a task to calculate the volume of the solid bounded by surfaces as below via triple integral.
$x^2+y^2 \le 3z^2$ and $x^2+y^2+z^2 \le 4$ The first surface seems to be the infinite cone. The second one is a sphere. So it looks that we have to use spherical coordinates to calculate the volume, but how? Is it possible to use cylinder coordinates as well for the case?