The volume of the ball is 36pi cm ^ 2. Find the surface area of the ball.

The volume of the ball is found by the formula: V = 4/3 * π * R ^ 3. The surface area of the ball is found by the formula: 4 * π * R ^ 2. From here we see that for the surface area of the ball we lack the value of the radius. But we know the volume of the ball, and from the formula we can extract the value of the radius:

4/3 * π * R ^ 3 = 36;

R ^ 3 = 36: (4/3 * π);

R ^ 3 = 27 π;

R = 3 * 3√ π.

Now, using the formula, we can find the surface of the ball:

S = 4 * π * R ^ 2 = 4 * π * (3 * 3√ π) ^ 2 = 4π * 9 * (3√ π) ^ 2 = 36π (3√ π) 2;

π ≈ 3.14; Substitute:

S = 36 * 3.14 * (3√ 3.14) ^ 2 = (3√ 3.14 ≈ 1.46) = 113.04 * 1.46 ^ 2 = 113.04 * 2.1316 = 240, 956064 ≈ 240.96 cm2.

Answer: The surface area of the ball is approximately 240.96 cm2.