# isovolume problem

The isovolume problem asks: What surface encloses the maximum volume per unit surface? The answer is a sphere, for which:

volume/surface area = (4/3π*r*^{ 3})/(4π*r*^{ 2}) = 1/3*r*

where *r* is the sphere's radius. Proof of the solution to the isovolume
problem came as recently as 1882 from Schwarz.