Asphere has a radius of 4x + 1. which polynomial in standard form best describes the total surface area of the sphere? use the formula s = 4pir2 for the surface area of a sphere.

area = pi * (64x² + 32x + 4)
Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56

Explanation:
We are given that:
area of sphere = 4 * pi * r²
radius = 4x + 1

Substitute with the radius in the given formula to get the area as follows:
area = 4 * pi * (4x+1)²
area = 4 * pi * (16x² + 8x + 1)
area = pi * (64x² + 32x + 4)

Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56

Hope this helps :)

Hi there.

Each line on the graph is equivalent to: 1/6
SO we can see that n is graphed at: 1 1/6 and m is graphed at: 2 4/6

To estimate the product, let's convert each fraction into an improper fraction.
n = 1 1/6 = 7/6
m = 2 4/6 = 16/6 

Multiply the improper fractions. 
7/6(16/6) = 112/36 = 3 4/16 = 3 1/9 (Simplified) 

So 3 1/9 is your answer.