Discussion

If volume of sphere is 850m³ then its radius and surface area are

Answer: D

Find the radius from the volume, then use it for the surface area.

\[ \frac{4}{3}\pi r^{3} = 850 \quad\Longrightarrow\quad r^{3} = \frac{850 \times 3}{4\pi} = \frac{2550}{12.566} = 202.9 \]

\[ r = \sqrt[3]{202.9} = 5.88 \text{ m} \]

\[ S = 4\pi r^{2} = 4 \times 3.1416 \times (5.88)^{2} = 12.566 \times 34.57 \]

\[ S \approx 434 \text{ m}^{2} \]

Only the pair 5.88 m and 434 m² is internally consistent - checking one value against the other is quicker here than computing both from scratch.

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