Question

A square sheet of paper is folded into a cylinder by rolling along its side. What is the ratio of side of the square to the base radius of the cylinder?
1. 2π : 1
2. 1 : 2π
3. 1 : 4π
4. 1 : π

Answer 1

Correct Answer - Option 1 : 2π : 1

Let the side of the square be a

If the square sheet of paper is folded into a cylinder by rolling along its side, then

The perimeter of the cylinder = a

⇒ 2πr = a

⇒ r = a/2π

∴ Ratio of the side of the square to the radius of cylinder = a : a/2π = 2π : 1