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

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

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Let ABC be a cone of maximum volume inscribed in a sphere of radius r.

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

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