Question

A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?

Answer 1

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume =
`(4)/(3)\pi (6)^(3)` = 288π m³