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surface area of a sphere = 4πr² where r is the radius. The sphere below has a surface area of 264 m² Work...

surface area of a sphere = 4πr² where r is the radius.
The sphere below has a surface area of 264 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 = 264.

Divide both sides by 4π: r² = 264 / (4π).
Calculate: r² ≈ 21.073.
Take the square root of both sides: r ≈ √21.073.
Calculate the square root: r ≈ 4.59.

The radius of the sphere is approximately 4.59 m to 3 significant figures.

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