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3 years ago

Surface area of a sphere is 615.752 m2, what is the volume of the sphere?

Mathematics

1 answer:

const2013 [10]3 years ago

8 0

the volume (V) of a sphere = $\frac{4}{3}$ πr³

We require to know the radius r to calculate the volume

using surface area of a sphere = 4πr² = 615.752

divide both sides by 4π

r² = $\frac{615.752}{12.56}$ = 49.0248...

take the square root of both sides

r = $\sqrt{49.0248..}$ ≈ 7, hence

V= $\frac{4}{3}$ × π × 7³ = 1436.76 m³ → B

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