Question

This sphere has a diameter of 12 meters.

What is its exact surface area and its exact volume?
Show the formulas and show your work.

Answer 1

• area: 144π m²
• volume: 288π m³

Explanation:

The formula for the surface area of a sphere is ...

A = 4πr²

For a radius of 6 meters, that is ...

A = 4π(6 m)² = 144π m²

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The formula for the volume of a sphere is ...

V = (4/3)πr³ = A·(r/3)

For the same sphere, this is ...

V = (144π m²)(6 m/3) = 288π m³