To find the volume of the soccer ball, which is a sphere, we can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Where \( r \) is the radius.
- First, we need to find the radius. The diameter of the soccer ball is 8 inches, so the radius \( r \) is half of that:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
- Next, we plug the radius into the volume formula, using \( \pi \approx 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (4)^3 \]
- Calculate \( (4)^3 \):
\[ (4)^3 = 64 \]
- Now, substitute that back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 64 \]
- Multiply \( \frac{4}{3} \times 64 \):
\[ \frac{4 \times 64}{3} = \frac{256}{3} \approx 85.33 \]
- Now multiply by \( 3.14 \):
\[ V \approx 85.33 \times 3.14 \approx 267.9852 \]
- Rounding to the nearest whole number gives us:
\[ V \approx 268 \text{ inches}^3 \]
Therefore, the soccer ball can hold approximately 268 inches³ of air.
The correct answer is:
268 inches³