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Water flows out of a pipe at a rate of 40\(\pi cm^2\) per seconds into...

Mathematics
WAEC 2017

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
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Correct Answer: Option A
Explanation

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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