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To find the volume of the beach ball (which is a sphere) with a diameter of 24 cm, we can use the formula for the volume of a sphere:

\[
V = \frac{4}{3} \pi r^3
\]

Here, \( r \) is the radius of the sphere. Since the diameter is given as 24 cm, we can calculate the radius:

\[
r = \frac{24}{2} = 12 \, \text{cm}
\]

Now, substitute the radius \( r = 12 \, \text{cm} \) into the volume formula:

\[
V = \frac{4}{3} \pi (12)^3 = \frac{4}{3} \pi \times 1728
\]

\[
V = \frac{4}{3} \times 1728 \pi = 2304 \pi \, \text{cm}^3
\]

So, the volume of the beach ball is \( 2304 \pi \, \text{cm}^3 \).

Would you like more details or have any questions about this?

Here are 5 related questions:
1. How would the volume change if the radius were doubled?
2. What is the surface area of the same sphere?
3. How would the formula change if the sphere were not a perfect sphere but an ellipsoid?
4. How can we express this volume in decimal form using an approximate value of \( \pi \)?
5. How does the volume of a sphere relate to its diameter?

**Tip:** When solving volume problems, always ensure you correctly identify whether the given measurement is the radius or diameter!

The beach ball shown below is a sphere. Work out its volume. Give your answer in terms of π. The diameter of the sphere is 24 cm.

Learn how to calculate the volume of a sphere (a beach ball) with a diameter of 24 cm using the formula V = 4/3 π r^3. This problem applies geometric concepts and is suitable for students in Grades 8-10.

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