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

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fozzzy
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A cylindrical can has a radius of 4 centimeters and a height [#permalink] New post   26 Sep 2013, 03:47
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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 overlapping?

(A) 16π
(B) 64π
(C) 96π
(D) 192π
(E) 576π
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C
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Bunuel
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Re: A cylindrical can has a radius of 4 centimeters and a height [#permalink] New post   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 \(circumference*height=2\pi{r}h=96\pi\):
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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, 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

Answer is C.
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Re: A cylindrical can has a radius of 4 centimeters and a height of 12 cen [#permalink] 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] 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 [#permalink] New post   02 Jun 2019, 23:33
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Given,

The radius of the cylindrical can, r = 4cm

Height of the cylindrical can, h = 12cm

The area of a rectangular label that completely covers the curved surface of the can without overlapping will be equal to the curved surface area or lateral surface area of the cylinder : 2 * Pi * r * h = 2 * Pi * 4 * 12 = 96 Pi

The correct answer is C
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Re: A cylindrical can has a radius of 4 centimeters and a height [#permalink] New post   16 Nov 2023, 04:31
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Re: A cylindrical can has a radius of 4 centimeters and a height [#permalink]
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