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The volume of a right circular cylinder of height 32 cm and base diameter 36 cm is equal to the volume of a right circular cone of height 2…

3210Medium DSSSB TGT Computer Science 0 replies

The volume of a right circular cylinder of height 32 cm and base diameter 36 cm is equal to the volume of a right circular cone of height 24 cm. What is the curved surface area (in cm2) of the cone?

  • A432√13 π
  • B288√13 π
  • C240√15 π
  • D360√15 π
Correct answer: A

Explanation

Cylinder volume = π × 18² × 32 = 10368π. Cone: (1/3) × π × r² × 24 = 8πr², so r² = 1296 and r = 36. Slant height = √(36² + 24²) = 12√13. Curved surface area = π × r × l = π × 36 × 12√13 = 432√13 π cm².

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