To find the volume of the beach ball, we'll use the volume formula for a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Given that the diameter of the beach ball is 12 inches, we can find the radius \( r \) by dividing the diameter by 2:
\[ r = \frac{12}{2} = 6 \text{ inches} \]
Now we can plug the radius into the volume formula. Using \( \pi \approx 3.14 \):
\[ V = \frac{4}{3} \times 3.14 \times (6)^3 \]
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 \( \frac{4}{3} \times 216 \):
\[ \frac{4 \times 216}{3} = \frac{864}{3} = 288 \]
Now multiply by \( 3.14 \):
\[ V = 288 \times 3.14 = 904.32 \text{ in}^3 \]
Thus, the volume of the beach ball is:
904.32 in³
So the correct response is:
904.32 in³