The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of
MATHEMATICS
WAEC 2018
The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of the tank. [Take \(\pi = \frac{22}{7}\)]
- A. 14m
- B. 10m
- C. 7m
- C. 5m
Correct Answer: C. 7m
Explanation
Volume of a cylinder = \( \pi r^2\)h
385 = \(\frac{22}{7}\) x \(r^2\) x 10
385 x 7 = 22 x \(r^2\) x 10
\(r^2\) = \(\frac{385 \times 7}{22 \times 10}\)
= 12.25
r = \(\sqrt{12.25}\)
= 3.5m
Hence, diameter of tank = 2r
= 2 x 3.5 = 7m
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