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A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then :
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- H = 2R
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H = 2 R 3
- H = √3R
- B = 3R
- H = 2R
Correct Option: A
When we change shape of a solid figure, volume remains constant
∴ Volume of hemisphere = Volume of cone
⇒ | πR³= | πR³H | ||
3 | 3 |
∴ 2R = H