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WAEC Mathematics 2014 Objective — Question 50

Question 50 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

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The radii of the bases of two cylindrical tins, P and Q are r and 2r respectively. If the water level in P is 10cm high, what would be the height of the same quantity of water in Q?

  • A. 2.5cmCorrect
  • B. 5.0cm
  • C. 7.5cm
  • D. 20.0cm

Explanation

Equal volumes: πr²(10) = π(2r)²h, so h = 10r²/4r² = 2.5cm.

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