The diameter of a beach ball is 12 inches.

Use the valume formula for a sphere to determine how much air the beach ball can hold. Use 3.14 for pi.

150.72in^(3)
904.32in^(3)
75.36in^(3)
10.47in^(3)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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:
- The diameter of the beach ball is 12 inches.
- Therefore, the radius \( r \) is half of the diameter:

\[
r = \frac{12}{2} = 6 \text{ inches}
\]

Now, substituting \( r \) and \( \pi \) (using 3.14) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times (6)^3
\]

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 \( \frac{4}{3} \times 3.14 \):

\[
\frac{4 \times 3.14}{3} = \frac{12.56}{3} \approx 4.1867
\]

Now, multiply that by 216:

\[
V \approx 4.1867 \times 216 \approx 903.99
\]

Rounding this gives:

\[
V \approx 904.32 \text{ in}^3
\]

Thus, the volume of the beach ball is approximately **904.32 in³**.