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A solid metallic sphere of radius 10.5 cm is melted and recast into small cones, each of base radius 3.5 cm and height 3 cm. How many cones are obtained?

Competition practiceAreas & Volumes
  • A63
  • B84
  • C126
  • D252

Step-by-Step Solution

Sphere volume = (4/3)π = (4/3)π × 1157.625 = 1543.5π . Each cone = (1/3)π(3) = 12.25π . Number = 1543.5/12.25 = 126.
Answer: C) 126

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