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# If the same amount of tin (in square inches) used to make a cube with

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Math Expert
Joined: 02 Sep 2009
Posts: 53063
If the same amount of tin (in square inches) used to make a cube with  [#permalink]

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04 Sep 2018, 22:47
00:00

Difficulty:

25% (medium)

Question Stats:

80% (00:54) correct 20% (01:07) wrong based on 17 sessions

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If the same amount of tin (in square inches) used to make a cube with edge 3 inches is used to make a cylindrical can, what is the height of the can?

(1) The cube has a height of 3 inches.
(2) The circumference of the can is 2π.

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Re: If the same amount of tin (in square inches) used to make a cube with  [#permalink]

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05 Sep 2018, 03:59
Bunuel wrote:
If the same amount of tin (in square inches) used to make a cube with edge 3 inches is used to make a cylindrical can, what is the height of the can?

(1) The cube has a height of 3 inches.
(2) The circumference of the can is 2π.

Given, the same amount of tin (in square inches) used to make a cube with edge 3 inches is used to make a cylindrical can
Implies that surface area of cube with side length 3 inches=Total surface area of cylindrical can
Or, $$6*3^2=2\pi*r(r+h)$$
We require the value of radius of the cylindrical can in order to determine the value of height.

St1:- The cube has a height of 3 inches.
No information on height of cylindrical can.
Insufficient.

St2:- The circumference of the can is 2π.
Radius of the cylindrical can can be determined, 2πr=2π or, r=1
Sufficient.

Ans. (B)
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PKN

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Re: If the same amount of tin (in square inches) used to make a cube with   [#permalink] 05 Sep 2018, 03:59
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