The volume of a cylinder of radius 14cm is 210cm 3 . What is the

MATHEMATICS
WAEC 2002

The volume of a cylinder of radius 14cm is 210cm3. What is the curved surface area of the cylinder?

  • A. 15cm2
  • B. 30cm2
  • C. 616cm2
  • D. 1262cm2

Correct Answer: B. 30cm2

Explanation

\(V = \pi r^2 h\\

210 = \frac{22}{7} \times 14^2 \times h \\

h = \frac{210}{22 \times 28}\)

Curved surface area \(= 2r\pi h\\

= 2 \times \frac{22}{7} \times 14 \times \frac{210}{22 \times 26} = 30cm^2\)



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