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655-705 Level|   Geometry|      
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Bunuel
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A sphere is surrounded by the smallest cylinder that will just contain 25 Feb 2015, 02:59
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51% (01:07) correct 49% (01:13) wrong based on 372 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


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Official Answer
E
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A sphere is surrounded by the smallest cylinder that will just contain 25 Feb 2015, 07:45
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the smallest cylinder will touch at diameter with a circle and points on top and bottom. Answer E.
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A sphere is surrounded by the smallest cylinder that will just contain 27 Feb 2015, 08:00
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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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A sphere is surrounded by the smallest cylinder that will just contain 02 Mar 2015, 05:44
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Bunuel
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


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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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A sphere is surrounded by the smallest cylinder that will just contain 02 Mar 2015, 05:44
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Bunuel
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


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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 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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A sphere is surrounded by the smallest cylinder that will just contain 23 Dec 2019, 16:21
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Does anyone have an illustration to explain this? I’m having a tough time visualizing the solution. I see 6 points that a cylinder would touch — top, bottom, two sides, and “front” and “back.” Are you imagining a circle around the center of the sphere that touches top, bottom, and two sides, and then two extra points for the front and back?

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A sphere is surrounded by the smallest cylinder that will just contain 15 Jun 2020, 05:11
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This question should mention the cylinder as CLOSED CYLINDER.

If the cylinder is not closed then the answer will be only a circle.
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A sphere is surrounded by the smallest cylinder that will just contain 17 Jun 2021, 01:05
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Question seems oddly worded to me.....

Which of the following is the complete set of points?

The way the question is worded, it makes it seem that any individual Roman Numeral could or could not represent the complete set of points.

If we were given a question as follows:

“Which of the following adds up to a negative number?

-I- +2 - 1

-II- -3 + 0

We wouldn’t combine Roman numeral I and II to say that SUM of: (2 - 1 - 3 + 0) = -2 ——-> is negative

So the answer is I and II


That wouldn’t answer “WHICH” of the following.

Anyway, not important, just found the way the question was worded to be a bit odd....please someone let me know if I’m wrong.

Thanks!

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A sphere is surrounded by the smallest cylinder that will just contain 03 Aug 2022, 14:45
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