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  1. 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 :
    1. H = 2R
    2. H =
      2
      R
      3

    3. H = √3R
    4. B = 3R
Correct Option: A

When we change shape of a solid figure, volume remains constant
∴ Volume of hemisphere = Volume of cone

2
πR³=
1
πR³H
33

∴ 2R = H



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