brazzyjaay01 brazzyjaay01

19-04-2020
Mathematics

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A sphere has a radius of 2x + 4. Which polynomial in standard form best describes the total surface area of a sphere?
Use the formula S=4pi^2 for the surface area of a sphere

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ChemBen ChemBen

19-04-2020

Answer:

[tex]16\pi x^{2} + 64\pi x + 64\pi[/tex]

Step-by-step explanation:

[tex]r = 2x + 4[/tex]

[tex]S = 4\pi r^{2} = 4\pi (2x + 4)^{2} = 4\pi (4x^{2} + 16x + 16) = (4\pi )(4x^{2}) + (4\pi)(16x) + (4\pi)*16 = 16\pi x^{2} + 64\pi x + 64\pi[/tex]

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