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A sector cut from a circle of radius 21 cm has a central angle of 120°. Its two straight edges are brought together and joined to form a cone. Find the radius of the base of that cone in cm.

Competition practiceAreas & Volumes
  • A14
  • B7
  • C21
  • D3.5

Step-by-Step Solution

The curved edge of the sector becomes the rim of the cone. Arc length = (120/360) × 2π × 21 = 14π cm. Setting 2πr = 14π gives r = 7 cm.
Answer: B) 7

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