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The size of a rectangular piece of paper is 100 cm × 44 cm. A cylinder is formed by rolling the paper along its length. The volume of the cylinder is (Use π = 22/7)
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- 4400 cm³
- 15400 cm³
- 35000 cm³
- 144 cm³
- 4400 cm³
Correct Option: C
When the rectangular sheet is rolled along its length, the length of the sheet forms the circumference of the base of cylinder and breadth of sheet forms the height of cylinder. Circumference = 100
2πr = 100
| ⇒ 2 × | × r = 100 | |
| 7 |
| ⇒ r = | = | cm | ||
| 44 | 11 |
∴ Volume of the cylinder = πr²h
| = | × | × | × 44 = | = 35000 cm³ | ||||
| 7 | 11 | 11 | 7 |
