A rectangular sheet of paper, 44 cm × 20 cm,

Question:

A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.

Solution:

The length $(l)$ and breadth $(b)$ of the rectangular sheet are $44 \mathrm{~cm}$ and $20 \mathrm{~cm}$

Now, the sheet is rolled along the length to form a cylinder.

Let the radius of the cylinder be $r \mathrm{~cm}$.

Height, $h=b=20 \mathrm{~cm}$

Circumference, $S=44 \mathrm{~cm}$

$2 \pi r=44 \mathrm{~cm}$

$2 \times \frac{22}{7} \times r=44 \mathrm{~cm}$

$r=7 \mathrm{~cm}$

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

$=\frac{22}{7} \times 7^{2} \times 20 \mathrm{~cm}^{3}$

$=3080 \mathrm{~cm}^{3}$

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