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

Mathematics
WAEC 1992

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
  • E. 196cm
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Correct Answer: Option B
Explanation

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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