The base diameter of a cone is 14cm, and its volume is 462 cm 3
MATHEMATICS
WAEC 2002
The base diameter of a cone is 14cm, and its volume is 462 cm3. Find its height. [Taken \(\pi = \frac{22}{7}\)]
- A. 3.5cm
- B. 5cm
- C. 7cm
- D. 9cm
Correct Answer: D. 9cm
Explanation
From \(V = \frac{1}{3}\pi r^2 h. \hspace{1mm} r =\frac{14}{2}\\
462 = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times h \\
h = \frac{3 \times 462}{22 \times 7}\\ h = 9\)
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