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The hollow cylinder shown has a radius of 3 and a height of 8.

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The hollow cylinder shown has a radius of 3 and a height of 8. [#permalink] New post   19 Jun 2022, 23:53
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The hollow cylinder shown has a radius of 3 and a height of 8.

Attachment:
GRE cylinder (2).jpg
GRE cylinder (2).jpg [ 40.77 KiB | Viewed 1114 times ]


What is the straight-line distance from point A on the upper rim to point B on the lower rim?

A. \(\sqrt{73}\)

B. 11

C. \(48 \pi\)

D. 10

E. 20.5


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D
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Re: The hollow cylinder shown has a radius of 3 and a height of 8. [#permalink] New post   20 Jun 2022, 07:54
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Collapse into two dimensions: imagine a rectangle formed by the diameter of the cylinder as the base and the height of the cylinder as its height.

Then, the distance from A to B will split this rectangle into two equal right triangles with base = diameter = 6 and height = 8 (the height of the cylinder).

You'll notice that this 6:8:x right triangle, where x is the hypotenuse, is our old friend the 3:4:5 triangle (in this case, 6:8:10), so x must equal 10.

The answer is D.
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Re: The hollow cylinder shown has a radius of 3 and a height of 8. [#permalink] New post   07 Nov 2023, 17:15
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Re: The hollow cylinder shown has a radius of 3 and a height of 8. [#permalink]
07 Nov 2023, 17:15
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