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  1. If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to
    1. 1
      th of the radius of the hemisphere
      4

    2. radius of the hemisphere
    3. 1
      of the radius of the hemisphere
      2
    4. 1
      th of the radius of the hemisphere
      6
Correct Option: C

Volume of hemisphere =
2
πR³ cu. units
3

Volume of newphere =
4
πr³ cu. units
3

According to the question,
2
πR³ = 4 ×
2
πr³
33

⇒ R³ = 8r³
⇒ R = 2r units
∴ r =
1
R Units
2



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