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A sphere is surrounded by the smallest cylinder that will just contain

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A sphere is surrounded by the smallest cylinder that will just contain  [#permalink]

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New post 25 Feb 2015, 02:59
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A
B
C
D
E

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Question Stats:

52% (01:15) correct 48% (01:12) wrong based on 145 sessions

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


Kudos for a correct solution.

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Re: A sphere is surrounded by the smallest cylinder that will just contain  [#permalink]

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New post 25 Feb 2015, 07:45
1
the smallest cylinder will touch at diameter with a circle and points on top and bottom. Answer E.
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Re: A sphere is surrounded by the smallest cylinder that will just contain  [#permalink]

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New post 27 Feb 2015, 08:00
1
Think in three dimensions. The spahre will have a whole circle touching with the cylinder at the half height of the cylinder and plus will touch one point at the top of the cylinder and one point at the bottom of the cylinder. So answer will be a circle and 2 points or answer E -> II & III
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Re: A sphere is surrounded by the smallest cylinder that will just contain  [#permalink]

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New post 02 Mar 2015, 05:44
Bunuel wrote:
A sphere is surrounded by the smallest cylinder that will just contain it. Which of 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


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

Let’s use the familiar reference points of Earth’s geography to talk about the sphere. The cylinder fits the sphere tightly, so it touches the sphere around its “equator.” The top of the cylinder touches the “north pole” of the sphere, and the bottom of the cylinder symmetrically touches the “south pole” of the sphere. That’s a circle (the equator) and two points (the north & south poles).

Answer E.
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Re: A sphere is surrounded by the smallest cylinder that will just contain  [#permalink]

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New post 02 Mar 2015, 05:44
Bunuel wrote:
A sphere is surrounded by the smallest cylinder that will just contain it. Which of 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


Kudos for a correct solution.


Check other 3-D Geometry Questions in our Special Questions Directory.
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A sphere is surrounded by the smallest cylinder that will just contain  [#permalink]

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New post 17 Mar 2018, 11:44
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So If he gives us a cylinder, We must assume that it is a closed cylinder not a hollow cylinder. ? [Edited the tag name*] Bunuel Can you please answer my query.
If it were a hollow cylinder then answer would be C.
If it is not, The answer will be E.
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Re: A sphere is surrounded by the smallest cylinder that will just contain  [#permalink]

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New post 15 Jun 2019, 03:48
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A sphere is surrounded by the smallest cylinder that will just contain   [#permalink] 15 Jun 2019, 03:48
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