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A sector of a circle of radius 10 cm with angle 216° is rolled into a cone. What is the height of the cone?

Class 9Surface Area of a ConeMensuration
  • A8 cm
  • B6 cm
  • C4 cm
  • D10 cm

Step-by-Step Solution

Arc = (216/360) × 2π × 10 = 12π. Base circumference 2πr = 12π → r = 6 cm. Slant height = 10 cm, so h = √(100 − 36) = 8 cm.
Answer: A) 8 cm

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