Question

. A sphere has a radius of 7 + 7. Which polynomial in standard form best describes the total

surface area of the sphere? Use the formula = 4
2
for the surface area of a sphere.
a. 196
2 − 392 + 196
b. 196
2 + 392 + 196
c. 196
2 − 392 − 196
d. 196
2 − 3926 − 196�

Answer 1

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

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.