Water flows out of a pipe at a rate of 40\(\pi cm^2\) per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.

  • A 10 cm
  • B 14 cm
  • C 16 cm
  • D 20 cm
waec 2017mathematics

The correct answer is A. 10 cm

Volume of a cylinder = \(\pi r^2h\)

40\(\pi cm^3\) = \(\pi. 4^2h\)

40\(cm^3\) = 16h

h = 2.5cm/sec

In 4 seconds, 2.5cm x 4

= 10cm

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