Question:
A rectangular sheet of paper, 44 cm * 20 cm, is rolled along its length of form cylinder. Find the volume of the cylinder so formed.
Solution:
Given, the dimensions of the sheet are 44 cm * 20 cm
Here, length = 44 cm
Height = 20 cm
2πr = 44
r = 44/2π
r = 44/2π
$r=\frac{44 * 7}{2 * 22}$
r = 7 cm
Volume of cylinder $=r^{2} * h$
= 22/7 * 7 * 7 * 20
$=154^{*} 20=3080 \mathrm{~cm}^{3}$
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