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A solid block of lead measuring 66 cm by 42 cm by 21 cm is melted and cast into spherical bullets of diameter 4.2 cm. How many bullets are made? Take π = 22/7.

Competition practiceAreas & Volumes
  • A1500
  • B2000
  • C3000
  • D6000

Step-by-Step Solution

Block = . Each bullet has radius 2.1 cm, so its volume = . Number = 58212/38.808 = 1500. (Dropping the 4/3 and using π gives 2000; treating a bullet as a hemisphere, (2/3)π, gives 3000; using the cone formula (1/3)π gives 6000.)
Answer: A) 1500

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