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WAEC Mathematics 2018 Objective — Question 14

Question 14 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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The surface area of a sphere is 792/7 cm². Find, correct to the nearest whole number, its volume. [Take π = 22/7]

Diagram for question 14
  • A. 113cm³Correct
  • B. 131cm³
  • C. 311cm³
  • D. 414cm³

Explanation

4πr²=792/7 → r²=9 → r=3. Volume=(4/3)πr³=(4/3)(22/7)(27)≈113cm³.

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