Question

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3

Answer 1

A sphere of fixed radius (r) is given.
Let R and h be the radius and the height of the cone respectively.

Hence, it can be seen that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3.