Arc of a cylinder - would appreciate help

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The discussion focuses on calculating the height of an arc on a cylinder with a diameter of 4.990m and an arc length of 2.000m at a 45-degree angle. The formula derived from the discussion utilizes Pythagoras' theorem, stating that the height can be calculated as height = base length = L/sqrt(2). This approach simplifies the problem by "unrolling" the cylinder into a plane, making the calculations straightforward. The participants confirm the effectiveness of this method in determining the arc's height.

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m32dave
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Would really appreciate help with the following:
Firstly, could someone answer this (simple?) question for something I am trying to make?
Secondly, could you give me the most straightforward formula for working it out if I change the length?

Hope this makes sense.
I have a cylinder. I have an arc exactly 2.000m long extending up from the base of the cylinder at 45 degrees following the elliptical arc. The diameter of the base is 4.990m What is the height of the arc? What is the length of the segment across the base, or the length of the arc around the cylinder base perpendicular to the end of the arc.

Big Thanks
 
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If you "unroll" a cylinder you get a plane, so you can just use Pitagora's theorem:

height = base length = L/sqrt(2)
 
Petr Mugver said:
If you "unroll" a cylinder you get a plane, so you can just use Pitagora's theorem:

height = base length = L/sqrt(2)

Thanks,for putting it succinctly. I figured the same thing out in my bed last night.
 
In bed- that's where I do my best work!
 

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