To calculate the volume of the beach ball, we can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
First, we need to find the radius \( r \). The diameter of the beach ball is 12 inches, so the radius is half of the diameter:
\[ r = \frac{12}{2} = 6 \text{ inches} \]
Now, we can plug the radius into the volume formula. Using \( \pi \approx 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (6)^3 \]
Next, we need to calculate \( (6)^3 \):
\[ 6^3 = 216 \]
Now substitute this back into the volume equation:
\[ V = \frac{4}{3} \times 3.14 \times 216 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Now multiply this by \( 216 \):
\[ V \approx 4.1867 \times 216 \approx 904.32 \]
So the volume of the beach ball is approximately:
\[ \boxed{904.32 \text{ in}^3} \]