Anyway, the answer is that you wouldn't have a monopole, because the arrangement you are imagining is inherently unstable, and the magnetic fields would soon arrange themselves so that the poles are at either end of the shapes, rather than on the outside and inside.
Put another way, rather than this complicated geometry, it's enough to check what the magnetic field configuration of a spherical magnet is. But in fact it turns out to be hemispherical, rather than radial.
This is something of a circular argument, since I'm making this statement based on the empirical fact that there are no magnetic monopoles. Even so, since this appears to be the case, it's reasonable to use that to justify why your arrangement wouldn't work. If monopoles do exist then they are exotic and can't be constructed using any physical means at our current disposal.