https://file.aiquickdraw.com/mathbot/file/17296092415484b3jwx9z.jpg

To solve the problem, we need to calculate the volume of the sphere, which is given by the formula:

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

where \( r \) is the radius of the sphere.

From the image, we know that the diameter of the beach ball is 24 cm. The radius \( r \) is half of the diameter, so:

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

Now, substituting \( r = 12 \) cm into the formula for the volume:

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

First, calculate \( 12^3 \):

\[
12^3 = 12 \times 12 \times 12 = 1728
\]

Now substitute this into the volume formula:

\[
V = \frac{4}{3} \pi \times 1728
\]

Simplify the multiplication:

\[
V = \frac{4 \times 1728}{3} \pi = \frac{6912}{3} \pi = 2304 \pi \, \text{cm}^3
\]

Thus, the volume of the beach ball is:

\[
V = 2304 \pi \, \text{cm}^3
\]

Would you like any further clarification?

Here are 5 related questions:
1. How would the volume change if the diameter of the sphere were doubled?
2. What is the volume of a sphere with a radius of 15 cm?
3. How does the formula for the volume of a cylinder differ from that of a sphere?
4. Can you find the surface area of the same sphere with a radius of 12 cm?
5. What would the volume be if the sphere had a diameter of 30 cm instead?

**Tip:** Always remember that the radius is half of the diameter when solving volume problems for spheres!

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

Learn how to calculate the volume of a sphere using the formula V = (4/3)πr^3. This problem uses a beach ball with a diameter of 24 cm, teaching key concepts of geometry and volume. Suitable for students in Grades 8-10.

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