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# A piece of thread is uniformly strung around a right circular cylinder

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Math Expert
Joined: 02 Sep 2009
Posts: 54368
A piece of thread is uniformly strung around a right circular cylinder  [#permalink]

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23 Jul 2017, 23:25
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:30) correct 14% (00:42) wrong based on 25 sessions

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A piece of thread is uniformly strung around a right circular cylinder so as to form one complete loop, as shown in the diagram below. What is the length of the thread?

(1) The radius of the cylinder is 2/π.
(2) The height of the cylinder is 3.

Attachment:

2017-07-24_1023.png [ 5.76 KiB | Viewed 632 times ]

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Re: A piece of thread is uniformly strung around a right circular cylinder  [#permalink]

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24 Jul 2017, 19:15
Bunuel wrote:
A piece of thread is uniformly strung around a right circular cylinder so as to form one complete loop, as shown in the diagram below. What is the length of the thread?

(1) The radius of the cylinder is 2/π.
(2) The height of the cylinder is 3.

Attachment:
2017-07-24_1023.png

It should be C

Statement 1: Insufficient

We do not have any idea of the rise.

Statement 2: Insufficient

We do not have any idea of the radius

Statement 1 + Statement 2:

With this, we can use helical length formula (calculation probably beyond the scope of this) to find out the length of the thread. It basically requires, number of turns, rise in height per turn and diameter of the circle.
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Re: A piece of thread is uniformly strung around a right circular cylinder  [#permalink]

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24 Jul 2017, 20:45
1
[quote="Bunuel"]A piece of thread is uniformly strung around a right circular cylinder so as to form one complete loop, as shown in the diagram below. What is the length of the thread?

(1) The radius of the cylinder is 2/π.
(2) The height of the cylinder is 3.

Ans:

The question is basically asking you to find the length of the diagonal of the rectanglular surface that will be formed if the cylinder is split open. Imagine a rolled A4 size paper ..released open to form a rectangle.

S-1 Gives u the length - N.S
S-2 Gives u the height - N.S

Together u can calculate the diagonal. Since u have the height and the length of the rectangle.
Re: A piece of thread is uniformly strung around a right circular cylinder   [#permalink] 24 Jul 2017, 20:45
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