To calculate the volume of a 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 \( V \) is the volume and \( r \) is the radius of the sphere.
- First, we need to find the radius. The diameter of the soccer ball is 8 inches, so the radius \( r \) is half of the diameter:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
- Next, we plug the radius into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (4)^3 \]
- Now calculate \( (4)^3 \):
\[ (4)^3 = 64 \]
- Now substitute \( 64 \) back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 64 \]
- Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.18667 \]
- Now multiply this by \( 64 \):
\[ V \approx 4.18667 \times 64 \approx 267.999 \]
- Rounding to the nearest whole number, we find:
\[ V \approx 268 \text{ inches}^3 \]
Thus, the soccer ball can hold approximately 268 inches cubed of air when pumped to full capacity. The correct response is:
268 inches cubed