The diameter of a beach ball is 12 inches use the formula for a sphere to determine how much air the beach ball can hold. A. 10.47in^3 b. 75.36in^3 c. 150.72in^3 d. 904.32in^3

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**.