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From a right circular cylinder of radius 10 cm and height 21 cm, a right circular cone of same baseradius is removed. If the volume of the remaining portion is 4400 cm³, then the height of the removed cone (taking π = 22/7 ) is :
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- 15 cm
- 18 cm
- 21 cm
- 24 cm
- 15 cm
Correct Option: C
Volume of the cylinder = πr²h
= 22/7 × 10 × 10 × 21 = 6600 cu. cm
Volume of the cone = 6600 – 4400 = 2200 cu.cm
| ∴ 2200 = | π × 10² × h | |
| 3 |
| ∴ 2200 = | × h | |
| 21 |
⇒ h = 21 cm.
