  In this paper, we prove a class of weighted isoperimetric inequalities for
bounded domains in hyperbolic space by using the isoperimetric inequality with
log-convex density in Euclidean space. As a consequence, we remove the
horo-convex assumption of domains in a weighted isoperimetric inequality proved
by Scheuer-Xia. Furthermore, we prove weighted isoperimetric inequalities for
star-shaped domains in warped product manifolds. Particularly, we obtain a
weighted isoperimetric inequality for star-shaped hypersurfaces lying outside a
certain radial coordinate slice in the anti-de Sitter-Schwarzschild manifold.
