Final answer:
The volume of a soccer ball with a 9-inch diameter is approximately 381.7 cubic inches, calculated using the formula for the volume of a sphere (V = (4/3)πr³).
Step-by-step explanation:
To calculate the volume of a soccer ball with a diameter of 9 inches, we can use the formula for the volume of a sphere, which is V = (4/3)πr³, where V is the volume, and r is the radius of the sphere. Since the radius is half of the diameter, the radius of the soccer ball is 4.5 inches. Thus, the volume will be calculated as:
V = (4/3)π(4.5 inches)³
Performing the calculation:
V = (4/3)π(4.5 inches)³ ≈ (4/3)π(91.125 inches³) ≈ 4.18879 times 91.125 inches³ ≈ 381.7 cubic inches.
Therefore, the volume of the soccer ball is approximately 381.7 cubic inches.