Ball volume = 36n cm ^ 3. Find the surface area of the ball.

Given the volume of the ball = 36 * n cm ^ 3, we need to find the surface area of the ball. In order to solve this problem, we need the formulas of the ball:

Volume of the sphere: V = 4/3 * n * R ^ 3;

Surface area of the ball (sphere): S = 4 * n * R ^ 2.

Using the volume of the ball, we find the radius of the ball:

4/3 * n * R ^ 3 = 36 * n;

R ^ 3 = 36 * 3/4;

R ^ 3 = 27;

R = 3.

The radius of the ball is 3 and using this we find the surface area of the ball:

S = 4 * n * R ^ 2 = 4 * n * 3 ^ 2 = 36 * n.

Answer: The surface area of the ball is 36 * n cm ^ 2.