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# A cylindrical can has a radius of 4 centimeters and a height of 12 cen

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Math Expert
Joined: 02 Sep 2009
Posts: 50652
A cylindrical can has a radius of 4 centimeters and a height of 12 cen  [#permalink]

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06 Dec 2017, 22:16
00:00

Difficulty:

15% (low)

Question Stats:

91% (01:08) correct 9% (00:59) wrong based on 28 sessions

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A cylindrical can has a radius of 4 centimeters and a height of 12 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without overlapping?

(A) 16π
(B) 64π
(C) 96π
(D) 192π
(E) 576π

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Joined: 10 Aug 2015
Posts: 103
Re: A cylindrical can has a radius of 4 centimeters and a height of 12 cen  [#permalink]

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07 Dec 2017, 04:16
The area of a rectangular label that completely covers the curved surface of the can without overlapping is nothing but the curved surface of the cylinder, i.e 2πrh = 2(π)(4)(12) = 96π. Option C
Director
Joined: 09 Mar 2017
Posts: 516
Location: India
Concentration: Marketing, Organizational Behavior
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Re: A cylindrical can has a radius of 4 centimeters and a height of 12 cen  [#permalink]

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07 Dec 2017, 05:19
Another way if you dont remember curved surface area formula:

The label is nothing but a rectangle when flattened with L= circumference of circle of r = 4cm and B= h= 12
circumference = 2 pi (4) = 8 pi
area = L*B = 8 pi * 12 = 96 pi
--C--
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Re: A cylindrical can has a radius of 4 centimeters and a height of 12 cen &nbs [#permalink] 07 Dec 2017, 05:19
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