Question

Find the volume between the cone and the sphere.

Answer 1

Cone - \[x=\sqrt{y^2+z^2}\]
Sphere - \[x^2+y^2+z^2=4\]

Answer 2

A triple integral is necessary. Spherical Coordinates would be the easiest so:
\[\int\limits_{a}^{b}\int\limits_{c}^{d}\int\limits_{e}^{f} \rho^2\sin(\phi) d \rho d \phi d \theta\]
What are the values of a, b, c, d, e, f?