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 that the diameter of the beach ball is 12 inches, the radius \( r \) will be half of the diameter:
\[ r = \frac{12}{2} = 6 \text{ inches} \]
Now we can substitute the radius into the volume formula:
\[ V = \frac{4}{3} \pi (6)^3 \]
Calculating \( 6^3 \):
\[ 6^3 = 216 \]
Now substitute \( 216 \) into the volume formula:
\[ V = \frac{4}{3} \pi (216) \]
Multiply \( \frac{4}{3} \) by \( 216 \):
\[ V = \frac{864}{3} \pi = 288 \pi \]
Now approximate \( \pi \) as \( 3.14 \):
\[ V \approx 288 \times 3.14 \approx 904.32 \text{ in}^3 \]
Therefore, the volume of the beach ball is approximately \( 904.32 \text{ in}^3 \).
The correct answer is d. 904.32 in³.