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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.
Sum
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Solution
The length (l) and breadth (b) of the rectangular sheet are 44 cm and 20 cm
Now, the sheet is rolled along the length to form a cylinder.
Let the radius of the cylinder be r cm.
Height, h = b = 20 cm
Circumference, S = 44 cm
\[ 2\pi r = 44 cm\]
\[2 \times \frac{22}{7} \times r = 44 cm\]
\[ r = 7 cm\]
\[\text{ Volume of the cylinder, V }= \pi r^2 h\]
\[ = \frac{22}{7} \times 7^2 \times 20 {cm}^3 \]
\[ = 3080 {cm}^3 \]
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