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

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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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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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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
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.
A sphere is surrounded by the smallest cylinder that will just contain   [#permalink] 17 Mar 2018, 11:44
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