My confusion stems from the following:
Can I reason the answer being (D) analogous to... for instance:
If this was instead a solid cylinder with uniform polarization $\mathbf P$ pointing in the z-direction, I'd believe the net bound charge would be on the top/bottom surface only. That's because the constituents atoms in the volume will have their electron clouds and nuclei polarize along an external electric field such that the nuclei will tend to move towards the 'tails' of vector field $\mathbf P$ and the electron clouds away from it. For each electron cloud, there will thus be a neighboring nuclei canceling out its bound charge contribution, except at the top/bottom surfaces where there can be no neighboring charge for the bound charges there.
Can I apply this logic here? I also feel like my explanation was a bit confused or muddy.