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A solid metallic sphere of radius 9 cm is melted and drawn into a wire of uniform circular cross-section of radius 0.3 cm. Find the length of the wire in metres.

Competition practiceAreas & Volumes
  • A27
  • B1080
  • C108
  • D10.8

Step-by-Step Solution

Sphere volume = (4/3)π × = (4/3)π × 729 = 972π . Wire volume = π × π. So cm = 108 m.
Answer: C) 108

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