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The curved surface area of a cylindrical tin is 704cm\(^2\). Calculate the height when the...

Mathematics
WAEC 1992

The curved surface area of a cylindrical tin is 704cm\(^2\). Calculate the height when the radius is 8cm. [Take π = 22/7]

  • A. 3.5cm
  • B. 7cm
  • C. 14cm
  • D. 28cm
  • E. 32cm
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Correct Answer: Option C
Explanation

Curved surface area of a cylindrical tin = \(2\pi rh\)

\(\therefore 2\pi rh = 704cm^2\)

\(2 \times \frac{22}{7} \times 8 \times h = 704\)

\(h = \frac{704 \times 7}{2 \times 22 \times 8}\)

\(h = 14cm\)


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