Question

The diameter of a beach ball is 12 inches.



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

Sphere: V=43πr3

(1 point)
Responses

75.36 in3
75.36 in3

904.32 in3
904.32 in3

10.47 in3
10.47 in3

150.72 in3

Answer 1

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**.