Final answer:
To find the diameter of the soccer ball with a volume of 5575 cm³, solve the formula for the volume of a sphere to find the radius and double it.
Step-by-step explanation:
The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius of the sphere. For a soccer ball with a given volume of 5575 cm³, you can rearrange this formula to solve for the radius and then double it to get the diameter of the ball.
First, solve for r: V = (4/3)πr³ implies r³ = V / ((4/3)π). By inserting the given volume of 5575 cm³ into the formula and solving for r, you find the radius r of the ball. The diameter d is then simply d = 2r.
Upon solving for the radius and doubling it to get the diameter, you will have determined the diameter of the soccer ball.