To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Given:
- The diameter of the beach ball is 12 inches.
- Therefore, the radius \( r \) is half of the diameter:
\[ r = \frac{12}{2} = 6 \text{ inches} \]
Now, substituting \( r \) and \( \pi \) (using 3.14) into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (6)^3 \]
First, calculate \( (6)^3 \):
\[ 6^3 = 216 \]
Now substitute that back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 216 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ \frac{4 \times 3.14}{3} = \frac{12.56}{3} \approx 4.1867 \]
Now, multiply that by 216:
\[ V \approx 4.1867 \times 216 \approx 903.99 \]
Rounding this gives:
\[ V \approx 904.32 \text{ in}^3 \]
Thus, the volume of the beach ball is approximately 904.32 in³.