Question

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

Answer 1

16pi(x^2) + 64pix + 16pi

Explanation:

Surface area is 4 * pi * r^2. The radius is r.

Plug in "2x+4" for r, to get the surface area.

4 * pi * (4x^2 + 16x + 4) =

16pi(x^2) + 64pix + 16pi