A sphere is surrounded by the smallest cylinder that will just contain it. Which of the following is a complete set of

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A sphere is surrounded by the smallest cylinder that will just contain it. Which of the following is a complete set of the points where the cylinder touches the sphere?

I. One point
II. Two points
III. A Circle

(A) I only
(B) II only
(C) III only
(D) I & III
(E) II & III

Answer: E

Source: Magoosh