Find the total surface area of a solid sphere of radius $5\text{cm}$. Take $\pi =\frac{22}{7}$ and give the answer to the nearest square centimetre.

Step-by-step solution

1. Use the formula for total surface area of a sphere: $4\pi r^2$.
2. Substitute $r=5$ and $\pi =\frac{22}{7}$.
3. Compute $r^2=5^2=25$.
4. Calculate $4\times \frac{22}{7}\times 25=\frac{2200}{7}$.
5. Evaluate $\frac{2200}{7}=314.285\dots$.
6. Round to the nearest integer: $314{\text{cm}}^2$.

Concept tested: Surface area of sphere

Published 23 August 2026 · How this solution was prepared and checked

Related questions

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