Question

Find a polynomial that represents the surface area of a sphere with a radius of (3x – 5) cm.

The surface area of a sphere is 4π^2. Leave your answer in terms of it.

Answer 1

π(36x^2 - 120x + 100)

Explanation:

4π(3x - 5)^2 = 4π[(3x)^2 - 2*3x*5 + 5^2] = 4π(9x^2 - 30x + 25)

= π(36x^2 - 120x + 100)