Question

A rectangular paper of width $14$ cm is rolled along its width and a cylinder of radius $20$ cm is formed. What will be volume of the cylinder ?

• A. $17600$ $c{m}^3$
• B. $16600$ $c{m}^3$
• C. $156600$ $m^3$
• D. None of these

Answer 1

The correct option is A $17600$ $c{m}^3$

A cylinder is formed by rolling a rectangle about its width. Hence the width of the paper becomes height and radius of the cylinder is $20$ cm.
Height of the cylinder h $=14$ cm
Radius r $=20$ cm
Volume of the cylinder V $=\pi r^{2}h=\frac{22}{7}\times 20\times 20\times 14$
$=17600$ $c{m}^3$
Hence, the volume of the cylinder is $17600$ $c{m}^3$