https://file.aiquickdraw.com/mathbot/file/17272895897335ygibukp.jpg

To solve the problem in the image, we need to calculate the volume of a sphere. The formula for the volume of a sphere is:

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

Where:
- \( V \) is the volume.
- \( r \) is the radius of the sphere.

From the image, the diameter of the sphere is given as 10 cm. Therefore, the radius \( r \) is half of the diameter:

\[
r = \frac{10}{2} = 5 \text{ cm}
\]

Now we can substitute \( r = 5 \) into the formula for the volume:

\[
V = \frac{4}{3} \pi (5)^3
\]

Let me calculate that for you.The volume of the sphere is approximately \( 523.6 \, \text{cm}^3 \), rounded to the nearest tenth.

Would you like more details or have any questions? 

Here are 5 related questions to deepen your understanding:
1. How does the surface area of a sphere compare to its volume?
2. What happens to the volume of a sphere if the radius is doubled?
3. How do you calculate the surface area of a sphere?
4. How would you find the volume of a hemisphere (half of a sphere)?
5. How would you approach finding the volume of a solid object with a hollow core?

**Tip**: For spheres, the volume increases very quickly as the radius increases because it is proportional to the cube of the radius.

Find the volume of a sphere with a diameter of 10 cm. Round to the nearest tenth.

Learn how to calculate the volume of a sphere with a diameter of 10 cm. This step-by-step solution uses the formula V = (4/3)πr^3 to find the volume, providing a clear explanation suitable for students in Grades 6-8.

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