To calculate the volume of a soccer ball at full capacity, we can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
First, we need to find the radius. The diameter of the ball is 8 inches, so the radius \( r \) is:
\[ r = \frac{8}{2} = 4 \text{ inches} \]
Now we can substitute the radius into the volume formula using \( \pi \approx 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (4)^3 \]
Calculating \( (4)^3 \):
\[ (4)^3 = 64 \]
Now substitute this value into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 64 \]
Calculating \( \frac{4}{3} \times 64 \):
\[ \frac{4 \times 64}{3} = \frac{256}{3} \approx 85.33 \]
Now multiplying by \( \pi \):
\[ V \approx 85.33 \times 3.14 \approx 267.66 \]
Rounding to the nearest whole number:
\[ V \approx 268 \text{ inches}^3 \]
Thus, the soccer ball can hold approximately 268 inches³ of air. The correct answer is:
- 268 inches³.
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