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

10.47 in3
10.47 in3

150.72 in3
150.72 in3

75.36 in3
75.36 in3

904.32 in3

Answer 1

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**