  We propose novel thermodynamic inequalities that apply to stationary
asymptotically Anti-de Sitter (AdS) black holes. These inequalities incorporate
the thermodynamic volume and refine the reverse isoperimetric inequality. To
assess the validity of our conjectures, we apply them to a wide range of
analytical black hole solutions, observing compelling evidence in their favour.
Intriguingly, our findings indicate that these inequalities may also apply for
black holes of non-spherical horizon topology, as we show their validity as
well for thin black rings in AdS.
