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प्रश्न
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.
उत्तर
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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