  We obtain upper and lower bounds on the difference between the renormalized
volume and the volume of the convex core of a convex cocompact hyperbolic
3-manifold which depend on the injectivity radius of the boundary of the
universal cover of the convex core and the Euler characteristic of the boundary
of the convex core. These results generalize results of Schlenker obtained in
the setting of quasifuchsian hyperbolic 3-manifolds.
