The diameter D of a sphere is 15.8m. Calculate the sphere's surface area A.Use the value 3.14 for π, and round your answer to the nearest tenth.
Question
The diameter D of a sphere is 15.8m. Calculate the sphere's surface area A.Use the value 3.14 for π, and round your answer to the nearest tenth.
Solution
To calculate the surface area of a sphere, we use the formula:
A = 4πr²
However, we are given the diameter, not the radius. The radius is half the diameter, so:
r = D/2 = 15.8m/2 = 7.9m
Now we can substitute r into the formula:
A = 4π(7.9m)²
A = 4 * 3.14 * (7.9m)²
A = 4 * 3.14 * 62.41m²
A = 4 * 196.634m²
A = 786.536m²
Rounding to the nearest tenth, the surface area of the sphere is approximately 786.5m².
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