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# A right circular cylinder has a diameter of 20, as shown in the figure

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Math Expert
Joined: 02 Sep 2009
Posts: 51035
A right circular cylinder has a diameter of 20, as shown in the figure  [#permalink]

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17 Jan 2016, 09:17
00:00

Difficulty:

25% (medium)

Question Stats:

84% (01:39) correct 16% (00:59) wrong based on 59 sessions

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A right circular cylinder has a diameter of 20, as shown in the figure. If its height is 100, then its total surface area in square inches is approximately

A. 600
B. 3,000
C. 6,000
D. 6,600
E. 30,000

Attachment:

2016-01-17_2117.png [ 3.91 KiB | Viewed 1211 times ]

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Re: A right circular cylinder has a diameter of 20, as shown in the figure  [#permalink]

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18 Jan 2016, 11:18
1
Hi All,

Questions that ask about Geometric 'solids' are relatively rare on Test Day (you'll likely see just 1), so you won't necessarily be asked about a cylinder and you won't necessarily be asked about Surface Area. Conceptually, some Test Takers have difficulty 'visualizing' what the surface of a cylinder would 'look like', so here are some hints to help you calculate the Surface Area of this shape:

The surface area of a cylinder can be broken down into 3 shapes:
1) The top - which is a circle
2) The bottom - which is also a circle
3) The "side" - which is a rectangle.

It's that 3rd calculation that people tend to have a problem with. Imagine removing the label from a can or a water bottle. If you peeled it off, you'd have a rectangle. In this case, the height of the rectangle is the height of the cylinder and the width is the CIRCUMFERENCE of the circle.

Since the prompt gives you all of the 'numbers' that you need to perform the calculations involved, you just have to plug them into the appropriate formulas and finish off the work. Keep in mind that you also have to account for the value of pi, and the prompt asks for an APPROXIMATE value.

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Joined: 19 Jul 2017
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Re: A right circular cylinder has a diameter of 20, as shown in the figure  [#permalink]

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20 Jul 2018, 14:25
1
Bunuel wrote:

A right circular cylinder has a diameter of 20, as shown in the figure. If its height is 100, then its total surface area in square inches is approximately

A. 600
B. 3,000
C. 6,000
D. 6,600
E. 30,000

Attachment:
2016-01-17_2117.png

total surface area=2pi r(r+h)
r=10
pi =3.14
2*3.14*10*110= 6600 approximately
ans D
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Re: A right circular cylinder has a diameter of 20, as shown in the figure &nbs [#permalink] 20 Jul 2018, 14:25
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