gchapman1673 gchapman1673
  • 22-02-2019
  • Mathematics
contestada

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

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 22-02-2019

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step 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 = [tex]\frac{4}{3}\pi (6)^{3}[/tex] = 288π m³

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