Compute the Jacobian for the change of variables into spherical coordinates: $$x=\rho\sin\phi\cos\theta,\quad y=\rho\sin\phi\sin\theta,\quad z=\rho\cos\phi.$$

$\left|\frac{\partial(x,y,z)}{\partial(\rho,\phi,\theta)}\right| =$
(Use rho for $\rho$, phi for $\phi$, theta for $\theta$.)