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A semicircular sheet of paper of radius 14 cm is rolled up so that its two straight radii meet, forming a cone. Find the curved surface area of the cone in . Take π = 22/7.

Competition practiceAreas & Volumes
  • A616
  • B462
  • C154
  • D308

Step-by-Step Solution

Rolling does not change the paper's area, so the curved surface of the cone equals the area of the semicircle = ½ × (22/7) × = ½ . (Its base radius is 7 cm, since the arc 14π must equal 2πr, so its total surface area would be — but only the curved part is asked for.)
Answer: D) 308

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