Question

A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled along its length to form a cylinder. The volume of the cylinder so formed is _____.

• A. $442c{m}^3$
• B. $402c{m}^3$
• C. $462c{m}^3$
• D. $460c{m}^3$

Answer 1

The correct option is C

$462c{m}^3$

If a paper is rolled along its length to form a cylinder then,

height of the cylinder (h) = breadth of paper = 12 cm.

Circumference of the base of the cylinder = length of paper
= 22 cm = $2\pi r$,
where r is the radius of the cylinder.

$\Rightarrow r=\frac{7}{2}cm$

Volume of the cylinder $=\pi r^{2}h=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 12c{m}^3=462c{m}^3$