  The purpose of this note is to provide some volume estimates for Einstein
warped products similar to a classical result due to Calabi and Yau for
complete Riemannian manifolds with nonnegative Ricci curvature. To do so, we
make use of the approach of quasi-Einstein manifolds which is directly related
to Einstein warped product. In particular, we present an obstruction for the
existence of such a class of manifolds.
