Problem #50

A standard problem from Calculus is to find the volume of the solid S constructed as follows. The base of S is a circular disk of radius 1. Parallel cross-sections perpendicular to the base are squares. The first figure shows some of the cross-sections of S, the second shows S itself. This solid is sometimes called a "Bishop's Hat".

This month's problem is to find the surface area of the Bishop's Hat (do not include the area of the circular base).

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