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The base diameter of a cone is 14cm and its vol... - WAEC Mathematics 2002 Question

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 option: d
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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