Answer:
503 m²
Step-by-step explanation:
Step 1: Determine the radius of the sphere from the volume-of-a-sphere formula V = (4/3)πr³: Here, V = 3,000 m³ = (4/3)πr³. We divide both sides by (4/3)π to obtain r³:
3,000 m³ 9,000 m³
r³ = ------------------ = ----------------- = 716.20 m³
(4/3)π 4π
The surface area is A = 4πr². We can obtain r² by raising both sides of r³ = 716.20 m³ to the power (2/3):
r² = [r³]^(2/3) = r² and 716.20^(2/3). Then:
r² = 80.05 m².
Then the surface area is A = 2πr² = 2π(80.05 m²) = 503 m² (to the nearest square meter)
