Find the total surface area of a right circular cylinder whose radius is 3 cm and height is 14 cm. Use $\pi =\frac{22}{7}$.

Step-by-step solution

1. Calculate the area of one circular end: $\pi r^2=\frac{22}{7}\times 3^2=\frac{198}{7}$.
2. Double it for both ends: $2\times \frac{198}{7}=\frac{396}{7}$.
3. Compute the lateral (side) area: $2\pi rh=2\times \frac{22}{7}\times 3\times 14=\frac{1848}{7}$.
4. Add the area of the two ends and the lateral area: $\frac{396}{7}+\frac{1848}{7}=\frac{2244}{7}$.
5. Express the answer with appropriate units: $\frac{2244}{7}$ cm\textsuperscript{2}.

Concept tested: Total surface area of cylinder

Published 16 October 2026 · How this solution was prepared and checked