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.

area: 144π m² volume: 288π m³

Step-by-step 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

___

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