Answer:
168 cm²
Explanation:
You want the surface area of a sphere with a circumference of 23 cm.
Area
The area of a sphere is given by the formula ...
A = 4πr²
The circumference of the sphere is given by ...
C = 2πr
This suggests we can write the area formula in terms of the circumference as ...
A = (2πr)²/π = C²/π
Application
Using this formula, we find the area of the sphere to be ...
A = (23 cm)²/π ≈ 168 cm²
The approximate surface area is 168 square centimeters.
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