Question

A rectangular tin sheet is 12 cm long and 5 cm broad It is rolled along its length to form a cylinder by making the opposite edges just to touch each other. The volume of the cylinder (in $c{m}^3$) is

• A. $\frac{180}{\pi }$
• B. $\frac{120}{\pi }$
• C. $\frac{100}{\pi }$
• D. $\frac{60}{\pi }$

Answer 1

The correct option is A $\frac{180}{\pi }$

Circumference of cylinder, $2\pi r=$length of sheet

$\Rightarrow 2\pi r=12\Rightarrow r=\frac{6}{\pi }$

Volume of cylinder $=\pi r^{2}h=\pi \times \frac{6}{\pi }\times \frac{6}{\pi }\times 5=\frac{180}{\pi }{cm}^2$