  Cardy-Verlinde (CV) formula relates the entropy of a conformal field theory
(CFT) in arbitrary dimensions to its total energy (with an appropriate
insertion of additional internal energy for charged systems) and Casimir
energy. While several aspects of the CV formula have been tested directly for
weakly coupled CFTs, the aim of the present paper is to verify it in the
strongly coupled regime, by employing a phenomenological matrix model, which
captures the features of the ${\cal{N}}=4$, $SU(N)$ Super Yang-Mills theory on
$S^3$ at finite temperature and chemical potential at large $N$.
