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Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half that of the cone.

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Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

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Show that the height of the right circular cone of maximum volume that can be inscribed in a sphere of radius 12 cm is 16 cm.

Show that right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

Show that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 of the diameter of the sphere.

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