Find the surface area of a sphere whose volume is 606.375 m3.

1.	Find the surface area of a sphere whose volume is 606.375 m3.
Answer» We know that Volume of the sphere = 4/3 πr³ By substituting the values 606.375 = 4/3 × (22/7) × r³ On further calculation r³ = (606.375 × 3 × 7)/ 88 So we get r³ = 144.703125 By taking cube root r = 5.25m We know that Surface area of the sphere = 4 πr² By substituting the values Surface area of the sphere = 4 × (22/7) × 5.25² So we get Surface area of the sphere = 346.5 m² Therefore, the surface area of the sphere is 346.5 m².

Answer»

We know that

Volume of the sphere = 4/3 πr³

By substituting the values

606.375 = 4/3 × (22/7) × r³

On further calculation

r³ = (606.375 × 3 × 7)/ 88

So we get

r³ = 144.703125

By taking cube root

r = 5.25m

We know that

Surface area of the sphere = 4 πr²

By substituting the values

Surface area of the sphere = 4 × (22/7) × 5.25²

So we get

Surface area of the sphere = 346.5 m²

Therefore, the surface area of the sphere is 346.5 m².

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