  In this paper we consider the convex hull of a spherically symmetric sample
in $R^d$. Our main contributions are some new asymptotic results for the
expectation of the number of vertices, number of facets, area and the volume of
the convex hull assuming that the marginal distributions are in the Gumbel
max-domain of attraction. Further, we briefly discuss two other models assuming
that the marginal distributions are regularly varying or $O$-regularly varying.
