Question

find the maximum volume of a rectangular box that is inscribed in a sphere of radius r. , ayuda por favor

Answer 1

The maximum rectangular box that can be inscribed in a sphere of radius R is a cube whose side is R √ 2 therefor the maximun volume of that cube is [(R √ 2) *  (R √ 2) *  (R √ 2)]  = R^3 ( 2 ^ 3/2)