WAEC Mathematics 2017 Question 15

Question 15

Mensuration of Solids

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

  1. A.10 cm
  2. B.14 cm
  3. C.16 cm
  4. D.20 cm
Show the answer and explanation

Answer: A (10 cm)

Explanation

Volume after 4 s = 160π cm³. π × 4² × h = 160π, so h = 10 cm.