Let the radius of a penny be 1. Assume that the thickness of the penny is non-negligible so that a flipped penny can land on its side. Find the thickness of the penny that, when flipped, has a 31 chance of landing on its side. The answer is in the form k1 for an integer k. Find k.
Note: There is no definite answer for this question. Take the approach of inscribing the penny in a sphere.