Answer:
162π ft²
Step-by-step explanation:
The surface area (SA) of a sphere is
SA = 4πr² ← r is the radius
Calculate r from the volume, that is
V = [tex]\frac{4}{3}[/tex]πr³ = 972π
Multiply both sides by 3
4πr³ = 2916π ( divide both sides by 4π )
r³ = [tex]\frac{2916\pi }{4\pi }[/tex] = 729
Take the cube root of both sides
r = [tex]\sqrt[3]{729}[/tex] = 9, hence
SA = 4π × 9² = 4π × 81 = 324π
