Triple Integrals & Coordinate Systems · Medium problem

Find the volume of the solid that lies between the spheres $x^2 + y^2 + z^2 = 1$ and $x^2 + y^2 + z^2 = 4$ and inside the cone $\phi = \dfrac{\pi}{3}$ (that is, within angle $\dfrac{\pi}{3}$ of the positive $z$-axis). Give your answer in terms of $\pi$.