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Ugo [173]
3 years ago
9

A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the

formula S = 4pir2 for surface area of a sphere.
Mathematics
1 answer:
faust18 [17]3 years ago
5 0
Start with the given formula for the surface area of a sphere.

S = 4 \pi r^2

Now substitute 2x + 5 in for r, the radius.
Then simplify the expression and write it in standard form.

S = 4 \pi (2x + 5)^2

S = 4 \pi (4x^2 + 20x + 25)

S = 16 \pi x^2 + 80 \pi x + 100 \pi
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