Water flows out of a pipe at a rate of 40πcm 2 per seconds into...
MATHEMATICS
WAEC 2017
Water flows out of a pipe at a rate of 40πcm2 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
Correct Answer: A. 10 cm
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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