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A sphere of radius 4 cm is melted and drawn into a wire (cylinder). If the wire has radius 1 cm, its length is found by equating which volumes?

Class 10Conversion of SolidsMensuration
  • ASphere volume = cylinder volume
  • BSphere area = cylinder area
  • CSphere volume = cylinder area
  • DSphere radius = cylinder length

Step-by-Step Solution

On recasting, the volume of the sphere equals the volume of the wire (a thin cylinder).
Answer: A) Sphere volume = cylinder volume

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