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The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m³.
(Taking π = 22/7) . Find the ratio of its diameter to its height.
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- 7 : 6
- 6 : 7
- 3 : 7
- 7 : 3
- 7 : 6
Correct Option: D
If r be radius of base and h the height, then
Curved surface of cylindrical pillar = 2πrh.
and volume = πr²h.
∴ 2πrh = 264 m² ...(i)
πpr2h = 924 m³ ...(ii)
On dividing (ii) by (i), we get
| = | m. | |||
| 2πrh | 264 |
| ⇒ | = | m. | ||
| 2 | 264 |
| ⇒ r = | m = 7 m | |
| 264 |
∴ Diameter = 2 × 7 = 14m From (i),
| h = | = | = 6m. | ||
| π × d | 22 × 14 |
| ∴ Required ratio = | i.e, 7 : 3 | |
| 6 |
