Problem #156

A Reuleaux tetrahedron is the solid obtained by intersecting four balls of radius r whose centers are at the vertices of a regular tetrahedron with a side length of r (see figure below).

This month's problem is to calculate the surface area and volume of a Reuleaux tetrahedron with r = 1. [One can, of course, easily look this information up on the internet; please try to do the calculation yourself.]

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