ISRO Electrical Engineering (EE) 2018 - Question 72

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The volume of a cone is equal to that of a cylinder whose height is 9 cm and diameter 60 cm. find the radius of the base of cone if its height is 108 cm.

  • A. 12 cm
  • B. 18 cm
  • C. 10 cm
  • D. 15 cm

Answer: D. 15 cm

Explanation: Cylinder volume = π × 30² × 9 = 8100π cm³. Cone volume = (1/3)π·R² × 108 = 36π·R³. Equating: 36π·R² = 8100π => R² = 225 => R = 15 cm.

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