-
A right circular cone is 3.6 cm high and radius of its base is 1.6 cm. It is melted and recast into a right circular cone with radius of its base as 1.2 cm. Then the height of the cone (in cm) is
-
- 3.6
- 4.8
- 6.4
- 7.2
- 3.6
Correct Option: C
| Volume of cone = | πr²h | |
| 3 |
| = | × 1.6 × 1.6 × 3.6 | |
| 3 |
= ⇒ × 1.6 × 1.6 × 1.2 cu.cm.
| ∴ | × 1.2 × 1.2 × H | |
| 3 |
(H is height of new cone)
= π × 1.6 × 1.6 × 1.2
| ⇒ H = | = 6.4 cm | |
| 1.2 |
