Question

Please help me out :)

Answer 1

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 = $\frac{4}{3}$πr³ = 972π

Multiply both sides by 3

4πr³ = 2916π ( divide both sides by 4π )

r³ = $\frac{2916\pi }{4\pi }$ = 729

Take the cube root of both sides

r = $\sqrt[3]{729}$ = 9, hence

SA = 4π × 9² = 4π × 81 = 324π