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surface area of a sphere = 4πr² where r is the radius. The sphere below has a surface area of 488 m² Work...

surface area of a sphere = 4πr² where r is the radius.
The sphere below has a surface area of 488 m²
Work out the radius of the sphere to 3 s.f.

Answer

To find the radius of the sphere, use the formula for the surface area of a sphere: 4πr² = 488.

Divide both sides by 4π: r² = 488 / (4π).
Calculate: r² ≈ 38.86.
Take the square root of both sides: r ≈ √38.86.
Calculate the square root: r ≈ 6.23.

The radius of the sphere is approximately 6.23 m to 3 significant figures.

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