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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?

 Jun 22, 2019

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