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The volume of a cone of height 9cm is 1848cm 3 ... - WAEC Mathematics 1992 Question

The volume of a cone of height 9cm is 1848cm\(^3\). Find its radius. [Take π = 22/7]

A
7cm
B
14cm
C
28cm
D
98cm
correct option: b

1/3 πr\(^2\) x 9 = 1848
3 x πr2 = 1848 r2 = 1848/3 x 7/22 r = 14

\(\text{Volume of a cone} = \frac{1}{3} \pi r^2 h\)

\(\frac{1}{3} \times \frac{22}{7} \times r^2 \times 9 = 1848\)

\(r^2 = \frac{1848 \times 7}{22 \times 3}\)

\(r^2 = 196 \therefore r = 14cm\)

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