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3 years ago

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

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

7 0

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

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