College

A sphere has a radius of [tex]7 + 7[/tex]. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula [tex]A = 4\pi r^2[/tex] for the surface area of a sphere.

A. [tex]196\pi x^2 - 392\pi x + 196\pi[/tex]
B. [tex]196\pi x^2 + 392\pi x + 196\pi[/tex]
C. [tex]196\pi x^2 - 392\pi x - 196\pi[/tex]
D. [tex]196\pi x^2 - 3926\pi x - 196\pi[/tex]

Answer :

Answer:

So the answer is (b) 196^2 + 392π + 196.

Step-by-step explanation:

The formula for the surface area of a sphere is S = 4πr^2, where r is the radius of the sphere. We can substitute the given expression for r to get:

S = 4π(7 + 7)^2

Simplifying, we get:

S = 4π(196)

S = 784π

Therefore, the polynomial in a standard form that best describes the total surface area of the sphere is:

784π

And since the question asks for the polynomial in standard form, we can also write it as:

196π(4)

So the answer is (b) 196^2 + 392π + 196.

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