The volume of a cylinder is 500π and the radius is 5 cm. The height of the cylinder is equal to the diagonal of a square. Find the perimeter of the square.

Explanation

Radius of the cylinder = r = 5 cm. Volume of the cylinder = πr²h = 500π ⇒ Height, h = 20 cm. Let the side of the square be a cm ⇒ diagonal, d = a√2 cm. Height of the cylinder is equal to the diagonal of the square ⇒ a√2 = 20 ⇒ a = 10√2 cm. ∴ Perimeter of square = 4a = 40√2 cm.