The formula for the volume of a sphere is:
V = (4/3)πr^3
We are given that the volume of the bouncy ball is 36π cm^3. Therefore, we can set up an equation:
36π = (4/3)πr^3
We can simplify this equation by dividing both sides by π:
36 = (4/3)r^3
Multiplying both sides by 3/4:
27 = r^3
Taking the cube root of both sides:
r = 3
Therefore, the radius of the bouncy ball is 3 cm.