To find the volume of the beach ball, we first need to determine the radius since the diameter is given.
The diameter of the beach ball is 12 inches, so the radius \( r \) is:
\[ r = \frac{diameter}{2} = \frac{12 , \text{inches}}{2} = 6 , \text{inches} \]
Now, we can use the volume formula for a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Substituting the values we have:
\[ V = \frac{4}{3} \times 3.14 \times (6)^3 \]
Calculating \( (6)^3 \):
\[ (6)^3 = 216 \]
Now substituting that back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 216 \]
Calculating \( \frac{4}{3} \times 216 \):
\[ \frac{4 \times 216}{3} = \frac{864}{3} = 288 \]
Now multiplying by \( 3.14 \):
\[ V = 288 \times 3.14 = 904.32 \]
So, the volume of the beach ball is:
\[ \mathbf{904.32 , in^3} \]
The response is 904.32 in³.