Polyhedron P is inscribed in a sphere of radius 36(meaning that all vertices of P lie on the sphere surface). What is the least upper bound on

\(\frac{\text{volume of }P}{\text{surface area of }P}~\)

the ratioIn other words, what is the smallest real number T such that

must be true for all polyhedra P that can be inscribed in a sphere of radius 36?

Logic Jun 22, 2019

#1**0 **

This site might help...

http://mathforum.org/dr.math/faq/formulas/faq.polyhedron.html

Melody Jan 1, 2020