  We construct a new class of rotating AdS black hole solutions with
non-compact event horizons of finite area in any dimension and study their
thermodynamics. In four dimensions these black holes are solutions to gauged
supergravity. We find that their entropy exceeds the maximum implied from the
conjectured Reverse Isoperimetric Inequality, which states that for a given
thermodynamic volume, the black hole entropy is maximized for
Schwarzschild-AdS. We use this result to suggest more stringent conditions
under which this conjecture may hold.
