Question

Please help me out :)

Answer 1

162π ft²

Explanation:

The surface area (SA) of a sphere is

SA = 4πr² ← r is the radius

Calculate r from the volume, that is

V =
`(4)/(3)`πr³ = 972π

Multiply both sides by 3

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

r³ =
`(2916\pi )/(4\pi )` = 729

Take the cube root of both sides

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

SA = 4π × 9² = 4π × 81 = 324π