  In this note, we investigate the Steklov spectrum of the warped product
$[0,L]\times_h \Sigma$ equipped with the metric $dt^2+h(t)^2g_\Sigma$, where
$\Sigma$ is a compact surface. We find sharp upper bounds for the Steklov
eigenvalues in terms of the eigenvalues of the Laplacian on $\Sigma$. We apply
our method to the case of metric of revolution on the 3-dimensional ball and we
obtain a sharp estimate on the spectral gap between two consecutive Steklov
eigenvalues.
