To find the volume of the soccer ball, which is a sphere, we can use the formula for the volume \( V \) of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
Given that the diameter of the soccer ball is 8 inches, we can calculate the radius as follows:
\[ r = \frac{diameter}{2} = \frac{8 \text{ inches}}{2} = 4 \text{ inches} \]
Now we can substitute the radius and \( \pi \) into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (4 \text{ inches})^3 \]
First, calculate \( (4 \text{ inches})^3 \):
\[ (4 \text{ inches})^3 = 4 \times 4 \times 4 = 64 \text{ cubic inches} \]
Now substitute this value back 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, multiply this result by \( 3.14 \):
\[ V \approx 85.33 \times 3.14 \approx 267.82 \]
Rounding this to the nearest whole number gives:
\[ V \approx 268 \]
Thus, the soccer ball can hold approximately 268 inches³ of air when pumped to full capacity.
The correct answer is 268 inches cubed.
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