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# A 10-by-6 inch piece of paper is used to form the lateral

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A 10-by-6 inch piece of paper is used to form the lateral [#permalink]  28 Feb 2013, 11:40
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55% (03:26) correct 45% (01:57) wrong based on 1 sessions
A 10-by-6 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?

(A)The volume of the cylinder with height 10 is 60 / cubic inches greater than the volume of the cylinder with height 6.

(B)The volume of the cylinder with height 6 is 60 / cubic inches greater than the volume of the cylinder with height 10.

(C)The volume of the cylinder with height 10 is 60 cubic inches greater than the volume of the cylinder with height 6.

(D)The volume of the cylinder with height 6 is 60 cubic inches greater than the volume of the cylinder with height 10.

(E)The volume of the cylinder with height 6 is 240 / cubic inches greater than the volume of the cylinder with height 10.
[Reveal] Spoiler: OA
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Re: A 10-by-6 inch piece of paper is used to form the lateral [#permalink]  28 Feb 2013, 13:24
mun23 wrote:
A 10-by-6 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?

(A)The volume of the cylinder with height 10 is 60 / cubic inches greater than the volume of the cylinder with height 6.

(B)The volume of the cylinder with height 6 is 60 / cubic inches greater than the volume of the cylinder with height 10.

(C)The volume of the cylinder with height 10 is 60 cubic inches greater than the volume of the cylinder with height 6.

(D)The volume of the cylinder with height 6 is 60 cubic inches greater than the volume of the cylinder with height 10.

(E)The volume of the cylinder with height 6 is 240 / cubic inches greater than the volume of the cylinder with height 10.

Radius of 1 cylinder 6*10 (l*h) is 2pi r1 = 6
Radius of 2 cylinder 10*6 (l*h) is 2pi r2 = 10

Volume of cylinder is pi r square * h

Volume of 1 cylinder = 90/pi
volume of 2 = 150/pi
Difference = 60/pi
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Re: A 10-by-6 inch piece of paper is used to form the lateral [#permalink]  03 Mar 2013, 08:19
The answer B should have a pi included in it bacuase it is actual amout is 18 cubic inches difference but / pi
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Re: A 10-by-6 inch piece of paper is used to form the lateral [#permalink]  03 Mar 2013, 14:06
This isn't really a 700 Question, is it ?
Re: A 10-by-6 inch piece of paper is used to form the lateral   [#permalink] 03 Mar 2013, 14:06
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