Question : A thousand solid metallic spheres of 6 cm diameter each are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is:
Option 1: 30
Option 2: 90
Option 3: 45
Option 4: 60
Correct Answer: 60
Solution :
Given: Diameter = 6 cm
Radius = 3 cm
The volume of the sphere =
According to the question,
So, the diameter of the new sphere is 2 × 30 = 60 cm.
Hence, the correct answer is 60.
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