Respuesta :

Answer: The surface area is 452.39in²

Step-by-step explanation:

Formula

A=4πr²

d= 2 r

Solving for A

A=πd²=π·12²≈452.38934in²

The surface area of a sphere that has a diameter of 12 inches is 452.39 in².

To solve the question, we need to know what the surface area of a sphere is.

What is the surface area of a sphere?

The surface area of a sphere is given by A = 4πr² where

  • r = radius of sphere = d/2 where
  • d = diameter of sphere.

Given that d = 12 inches, r = d/2 = 12 in/2 = 6 in

Substituting the value of r into A, we have

A = 4πr²

A = 4π × (6 in)²

A = 4π × 36 in²

A = 144π in²

A = 452.39 in²

So, the surface area of a sphere that has a diameter of 12 inches is 452.39 in².

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