Our theory of the Kerr effect in nonpolar liquids, based on the dipole–induced dipole model of optical response, is applied to fluids of spherically symmetrical molecules. A sample shape independent expression for the Kerr constant K is derived. This expression is expanded in a generalized Y von-type series in powers of "cut out" dipole propagators. The two classes of interaction-induced terms in the series are due to, respectively, the pair polarizability correlations, and to the hyperpolarizability – pair polarizability cross correlations. The leading pair polarizability term is well known to be proportional to the depolarized light scattering (DLS) intensity. We show that the leading interaction-induced hyperpolarizability term is proportional to the first nontrivial term in the Y von series for the dielectric constant. Both of these similarities are exploited in order to deduce the behavior of K at liquid densities from DLS and dielectric constant measurements and computer simulations on rare gases. Contrary to what one might expect from the Kerr virial coefficient results, we conclude that the interaction-induced hyperpolarizability becomes relatively important at high densities. This is a result of the drastic decrease in the pair polarizability contributions in this density regime.