To calculate the volume of a soccer ball, which is spherical in shape, we can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Where:
- \( V \) is the volume,
- \( \pi \) is approximately 3.14, and
- \( r \) is the radius of the sphere.
Given that the diameter of the soccer ball is 8 inches, we can find the radius:
\[ r = \frac{\text{diameter}}{2} = \frac{8 \text{ inches}}{2} = 4 \text{ inches} \]
Now we can substitute the radius into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (4)^3 \]
First, calculate \( 4^3 \):
\[ 4^3 = 64 \]
Now substitute this value into the formula:
\[ V = \frac{4}{3} \times 3.14 \times 64 \]
Next, calculate \( \frac{4}{3} \times 64 \):
\[ \frac{4 \times 64}{3} = \frac{256}{3} \approx 85.33 \]
Now, multiply by \( 3.14 \):
\[ V \approx 85.33 \times 3.14 \approx 267.7232 \]
Finally, rounding to the nearest whole number gives:
\[ V \approx 268 \]
Therefore, the volume of air the soccer ball can hold when pumped to full capacity is approximately 268 cubic inches.