To calculate the volume of a soccer ball (which can be approximated as a sphere), we can use the formula for the volume \( V \) of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Where:
- \( \pi \) is approximately 3.14
- \( r \) is the radius of the sphere
First, we need to find the radius. Since the diameter of the soccer ball is 8 inches, the radius \( r \) would be:
\[ r = \frac{d}{2} = \frac{8}{2} = 4 \text{ inches} \]
Now, plug the radius back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (4)^3 \]
Calculating \( (4)^3 \):
\[ (4)^3 = 64 \]
Now substitute \( r^3 \) back into the volume equation:
\[ V = \frac{4}{3} \times 3.14 \times 64 \]
Now calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4 \times 3.14}{3} = \frac{12.56}{3} \approx 4.18667 \]
Now calculate the volume:
\[ V \approx 4.18667 \times 64 \approx 267.99968 \]
Rounding to the nearest whole number, we find:
\[ V \approx 268 \text{ cubic inches} \]
Thus, the air that the ball can hold is:
268 inches³ (or 268 inches cubed).