Question

A rectangular paper is $44cm$ long and $20cm$ wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will be

• A. 3080 cm³
• B. 3800 cm³
• C. 3050 cm³
• D. 3000 cm³

Answer 1

The correct option is B: $3080c{m}^3$

Length of the paper $=44cm$; Width of the paper $=20cm$

The sheet is rolled along its length, so right circular cylinder will be formed with circumference equal to $44cm$ and height $20cm$

$\Rightarrow 2\pi r=44$

$\Rightarrow 2\times \frac{22}{7}\times r=44$

$\Rightarrow r=7cm$

Volume of the cylinder $=\pi r^{2}h$

$=\frac{22}{7}\times 7\times 7\times 20c{m}^3=3080c{m}^3$