Question

A rectangular paper of dimensions $6cm$ and $3cm$ is rolled to form a cylinder with a height equal to the width of the paper, then its base radius is

• A. $\frac{6}{\pi }cm$
• B. $\frac{3}{2\pi }cm$
• C. $\frac{6}{2\pi }cm$
• D. $6\pi cm$

Answer 1

The correct option is C $\frac{6}{2\pi }cm$

Let the base radius of the cylinder be $r.$

Circumference of the base of the cylinder will be equal to the length of the rectangular sheet. So,

$2\pi r=6$

$\Rightarrow r=\frac{6}{2\pi }cm$

Hence, the base radius of the cylinder is equal to $\frac{6}{2\pi }cm.$