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

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Director
Joined: 29 Nov 2012
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A cylindrical can has a radius of 4 centimeters and a height [#permalink]

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26 Sep 2013, 03:47
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83% (00:45) correct 17% (01:12) wrong based on 106 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 over-lapping?

A) 16 pi
B) 64 pi
C) 96 pi
D) 192 pi
E) 576 pi
[Reveal] Spoiler: OA

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Re: A cylindrical can has a radius of 4 centimeters and a height [#permalink]

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26 Sep 2013, 03:53
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fozzzy wrote:
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 over-lapping?

A) 16 pi
B) 64 pi
C) 96 pi
D) 192 pi
E) 576 pi

The surface area without the top and the bottom is $$circumference*height=2\pi{r}h=96\pi$$:
Attachment:

clgeo26.gif [ 1.65 KiB | Viewed 2177 times ]

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Re: A cylindrical can has a radius of 4 centimeters and a height [#permalink]

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26 Sep 2013, 04:00
They are asking the lateral surface area of the cylinder.

the Lateral surface area = 2* pi * r *h

= 2*pi*4*12=96 pi

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Re: A cylindrical can has a radius of 4 centimeters and a height [#permalink]

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04 Oct 2017, 09:00
Hello from the GMAT Club BumpBot!

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Re: A cylindrical can has a radius of 4 centimeters and a height   [#permalink] 04 Oct 2017, 09:00
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