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WAEC Mathematics 2017 Paper

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Question : 14

Total: 49

Water flows out of a pipe at a rate of 40

\pi \text{ cm}^2

per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.

10 cm
14 cm
16 cm
20 cm

Solution:

Volume of a cylinder = $\pi r^{2}h$

40 $\pi \text{ cm}^3$ = $\pi \cdot 4^{2}h$

40 $\text{ cm}^3$ = 16h

h = 2.5cm/sec

In 4 seconds, 2.5cm x 4

= 10cm

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