# 15) 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

The volume of a cone (V) =
The volume of the sphere with radius r =
By Pythagoras  theorem in  we ca say that

V =

Now,

Hence, the point  is the point of maxima

Hence, the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is

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