  We study the specific heat of a model supercooled liquid confined in a
spherical cavity with amorphous boundary conditions. We find the equilibrium
specific heat has a cavity-size-dependent peak as a function of temperature.
The cavity allows us to perform a finite-size scaling (FSS) analysis, which
indicates that the peak persists at a finite temperature in the thermodynamic
limit. We attempt to collapse the data onto a FSS curve according to different
theoretical scenarios, obtaining reasonable results in two cases: a
"not-so-simple" liquid with nonstandard values of the exponents {\alpha} and
{\nu}, and random first-order theory, with two different length scales.
