The volume of a cylinder of radius 14cm is 210cm3. What is the curved surface area of the cylinder?
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Correct Answer: Option B
Explanation:
\(V = \pi r^2 h\\
210 = \frac{22}{7} \times 14^2 \times h \\
h = \frac{210}{22 \times 28}\)
Curved surface area \(= 2r\pi h\\
= 2 \times \frac{22}{7} \times 14 \times \frac{210}{22 \times 26} = 30cm^2\)
\(V = \pi r^2 h\\
210 = \frac{22}{7} \times 14^2 \times h \\
h = \frac{210}{22 \times 28}\)
Curved surface area \(= 2r\pi h\\
= 2 \times \frac{22}{7} \times 14 \times \frac{210}{22 \times 26} = 30cm^2\)