  The physical shape of a giant planet can reveal important information about
its centrifugal potential, and therefore, its rotation. In this paper I
investigate the response of Jupiter's shape to differential rotation on
cylinders of various cylindrical radii using a simple equipotential theory. I
find that both solid-body rotation (with System III rotation rate) and
differential rotation on cylinders up to a latitude between 20 and 30 degrees
are consistent with Jupiter's measured shape. Occultation measurements of
Jupiter's shape could provide an independent method to constrain the depth of
its zonal winds.
