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If the height of a cylinder is 4 times its circumference, the volume of the cylinder in terms of its circumference c, is
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2c³ π
- 4πc³
- c³π
- 2πc³
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Correct Option: C
If the radius of base of cylinder be r units, then,
Height = 4 × 2πr = 8πr units
∴ 2πr = c
| ∴ r = | and h = 4c | |
| 2π |
∴ Volume of cylinder = πr²h
| = | × 4c | |
| 4π² |
| = | cubic units | |
| π |
