# A rectangular she

Given: Dimensions of rectangular sheet: 40cm × 22cm

Height of the Hollow Cylinder : 40cm

Area of the Rectangle is = length × breadth

Curved surface Area of the Cylinder = 2πrh (where r and h are radius and height of cylinder respectively)

Let a1 be the area of Rectangle

a1 = 40 × 22 cm2

Let a2 be the Curved surface area of Cylinder

a2 = 2 × π × r × 40 cm2

We know that when area of a surface doesn’t change even if its shape is changed.

a1 = a2

40 × 22 = 2 × π × r × 40

r = = = = = 3.5 cm

Radius of the Cylinder is 3.5cm

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