Question

A rectangular sheet of paper, 44 cm $\times$ 20 cm, is rolled along its lenght of form a cylinder. Find the volume of the cylinder so formed.

Answer 1

Length of sheet = 44 cm

Breadth = 20 cm

By rolling long length, the height of cylinder

(h) = 20 cm

and circumference of the base = 44 cm

$\therefore Radius=\frac{Circumference}{2\pi }$

=$\frac{44\times 7}{2\times 22}$ = 7 cm

Now volume of the so formed cylinder

=$\pi r^{2}h=\frac{22}{7}\times 7\times 7\times 20c{m}^3$

= 3080 $c{m}^3$