Question

A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.

Answer 1

The length (l) and breadth (b) of the rectangular sheet are 44 cm and 20 cm.
Now, the sheet is rolled along the length to form a cylinder.
Let the radius of the cylinder be r cm.
Height, h=b=20 cm
Circumference, S=44 cm
2πr=44 cm
$2\times \frac{22}{7}\times r=44cm$
$\Rightarrow r=44\times \frac{7}{22\times 2}$
$\therefore r=7cm$
Volume of the cylinder, $V=\pi r^{2}h$
$=\frac{22}{7}\times 7^2\times 20c{m}^3$
$=3080c{m}^3$