Find the volume and centroid of the solid that lies in the intersection of the infinite cone $z=\sqrt{x^2 + y^2}$ and the sphere $x^2 + y^2 + z^2 = 1$. Choose an appropriate coordinate system.
So the second eqn is a perfect sphere with radius one. And since its volume I will probably need a triple integral... but im having a hard time find out what to integrate since I have 2 eqns :s
Also for the coordinate system, im thinking something like spherical?