# 23) Prove that the volume of the largest cone that can be inscribed in a sphere of radius r is 8/27  of the volume of the sphere.

Volume of cone (V) =
Volume of sphere with radius r =
By pythagoras  theorem in  we ca say that

V =

Now,

Hence, 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
Volume =
Hence proved

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