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Eva8 [605]
3 years ago
5

Please help me out :)

Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

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

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