sciayreb sciayreb

26-02-2019
Mathematics

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What is the volume of a sphere with a surface area of 100 pi ft squared

Respuesta :

Ashraf82 Ashraf82

26-02-2019

Answer:

The volume = 523.3 ft.³

Step-by-step explanation:

∵ Surface area of the sphere = 4πr²

∴ 4πr² = 100π

∴ 4r² = 100 ⇒ r² = 100/4 = 25

∴ r = √25 = 5 ft.

∵ Its volume = 4/3 πr³

∴ Its volume = (4/3) × π × 5³ = 523.3 ft.³

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