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
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
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