Question

A sphere has a volume of 288 Pi in^3. Find the surface area of the sphere

Answer 1

Answer:

Step-by-step explanation:

The formula for determining the volume of a sphere is expressed as

Volume = (4/3) × πr³

The volume of the given sphere is expressed as 288π inches³. It means that

(4/3) × πr³ = 288π

4r³/3 = 288

4r³ = 3 × 288 = 864

r³ = 864/4 = 216

Taking cube root of both sides, it becomes

r = 6

The formula for determining the surface area of a sphere is expressed as

Area = 4πr²

π = 3.14

Therefore,

Surface area = 4 × 3.14 × 6² = 452.16 inches²