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WAEC Mathematics 2017 Paper

Question : 14

Total: 49

\pi \text{ cm}^2

Solution:

Concept:

The water fills the cylinder, so its height is found using the volume of a cylinder:

V = \pi r^2 h

Explanation:

Water flows at

40\pi \text{ cm}^3

per second.

4

seconds, the total volume of water is:

V = 40\pi \times 4 = 160\pi \text{ cm}^3.

The container has base radius

4\text{ cm}

, so its base area is:

A = \pi (4)^2 = 16\pi \text{ cm}^2.

Height of water in the container is:

h = \frac{V}{A} = \frac{160\pi}{16\pi} = 10\text{ cm}.

Answer:

A. 10 cm

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