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Sagot :
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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