Math CentralQuandaries & Queries


Question from Rahul:

I want to make a cylinder which inside diameter is 600mm and thickness is 5mm and height is my question is that how much plate I need to make this happen


I drew a diagram of the plate and the cylinder formed by rolling the plate.

plate and cylinder

The width of the plate is the height of the cylinder, 800 mm. When you roll the plate the length of the plate becomes the circumference of the circle at the base of the cylinder. The circumference of a circle is $\pi$ times the diameter where $\pi\; = 3.1416.$ Hence the length of the plate is $ \pi \times 600$ mm.

I hope this helps,

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