Question

A rectangular piece of paper of dimensions 6 cm by 22 cm is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.

• A. $234{\text{cm}}^3$
• B. $462{\text{cm}}^3$
• C. $231{\text{cm}}^3$
• D. $265{\text{cm}}^3$

Answer 1

The correct option is C $231{\text{cm}}^3$

Length of paper = height of the cylinder = 6 cm
Circumference of its base=22 cm
$2\pi r=22$
$r=22\times \frac{7}{22\times 2}=\frac{7}{2}\text{cm}$,
Volume of the cylinder $=\pi r^{2}h$
$=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 6=231{\text{cm}}^3$