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WAEC Mathematics 2017 Objective — Question 15

Question 15 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

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Water flows out of a pipe at a rate of 40π cm3 per second into an empty cylindrical container of base radius 4cm. Find the height of water in the container after 4 seconds.

  • A. A. 10cmCorrect
  • B. B. 14cm
  • C. C. 16cm
  • D. D. 20cm

Explanation

Volume after 4s = 40π x 4 = 160π cm3. Volume of cylinder = πr^2h = 160π. h=160/r^2=160/16=10cm.

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