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

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A cylindrical can has a radius of 4 centimeters and a height [#permalink] New post 26 Sep 2013, 02:47
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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] New post 26 Sep 2013, 02:53
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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
clgeo26.gif [ 1.65 KiB | Viewed 603 times ]

Answer: C.
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Re: A cylindrical can has a radius of 4 centimeters and a height [#permalink] New post 26 Sep 2013, 03:00
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They are asking the lateral surface area of the cylinder.

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

= 2*pi*4*12=96 pi

Answer is C.
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Re: A cylindrical can has a radius of 4 centimeters and a height   [#permalink] 26 Sep 2013, 03:00
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