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The hollow cylinder shown has a radius of 3 and a height of 8.
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19 Jun 2022, 23:53
19 Jun 2022, 23:53
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The hollow cylinder shown has a radius of 3 and a height of 8.
GRE cylinder (2).jpg [ 40.77 KiB | Viewed 1047 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
Attachment:
GRE cylinder (2).jpg [ 40.77 KiB | Viewed 1047 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
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: The hollow cylinder shown has a radius of 3 and a height of 8.
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20 Jun 2022, 07:54
20 Jun 2022, 07:54
1
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.
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.
Re: The hollow cylinder shown has a radius of 3 and a height of 8.
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07 Nov 2023, 17:15
07 Nov 2023, 17:15
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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