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

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

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New post 06 Dec 2017, 23:16
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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
[Reveal] Spoiler: OA

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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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New post 07 Dec 2017, 05:16
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
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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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New post 07 Dec 2017, 06:19
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   [#permalink] 07 Dec 2017, 06:19
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