Question

the diameter of a soccer ball is 8.65 inches. what is the volume of the ball, rounded to the nearest hundredth?

a. 323.18 in³

b. 234.06 in³

c. 338.88 in³

d. 313.42 in³

Explanation:

Answer:

D. 313.42 in³

To find the volume of a sphere (soccer ball), we use the formula \( V = \frac{4}{3}\pi r^3 \). The diameter is 8.65 inches, so the radius \( r = \frac{8.65}{2} = 4.325 \) inches. Plugging into the formula:
\( V = \frac{4}{3}\pi (4.325)^3 \approx \frac{4}{3}\pi (80.95) \approx 313.42 \) in³ (rounded to the nearest hundredth).