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The radius of the base and height of a metallic solid cylinder are r cm and 6 cm respectively. It is melted and recast into a solid cone of the same radius of base, The height of the cone is :
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- 54 cm
- 27 cm
- 18 cm
- 9 cm
- 54 cm
Correct Option: C
Volume of the cylinder = πr² × h
= πr² × 6
= 6πr² cm²
Let the height of the cone be h cm.
| ∴ Volume of the cone = | πr²h | |
| 3 |
According to the question,
Volume of the cone = Volume of the cylinder
| ⇒ | πr²h = 6πr² | |
| 3 |
⇒h = 18 cm.
