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.]