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The figure shown above is a right circular cylinder. The circumferenc

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Carcass
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The figure shown above is a right circular cylinder. The circumferenc [#permalink] New post   20 May 2021, 09:36
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GRE The figure shown above.jpg
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The figure shown above is a right circular cylinder. The circumference of each circular base is 20, the length of ๐ด๐ท is 14, and ๐ด๐ต and ๐ถ๐ท are diameters of each base respectively. If the cylinder is cut along ๐ด๐ท, opened, and flattened, what is the length of ๐ด๐ถ to the nearest tenth?


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17.2
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Re: The figure shown above is a right circular cylinder. The circumferenc [#permalink] New post   21 May 2021, 22:00
Carcass wrote:
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The figure shown above is a right circular cylinder. The circumference of each circular base is 20, the length of ๐ด๐ท is 14, and ๐ด๐ต and ๐ถ๐ท are diameters of each base respectively. If the cylinder is cut along ๐ด๐ท, opened, and flattened, what is the length of ๐ด๐ถ to the nearest tenth?


Show: :: OA
17.2


When the cylinder is cut open, we will get a rectangle with height = breadth = 14 and circumference of base = length = 20 (as shown in the figure below)

Join AC;
\(AC^2 = AD^2 + DC^2\)
\(AC = \sqrt{14^2 + 10^2} = \sqrt{296}\)
\(AC = 17.2\)
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Re: The figure shown above is a right circular cylinder. The circumferenc [#permalink]
21 May 2021, 22:00
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