To solve for the volume $V$ of a sphere, we can use the formula:

$V = \frac{4}{3} \pi R^3$

Given:

• Radius $R = 7.9 \, \text{mm}$
• $\pi = 3.14$

Let's calculate the volume using these values.

I will now compute it.The volume of the sphere is approximately $2064.2 \, \text{mm}^3$, rounded to the nearest tenth.

Do you have any questions, or would you like further details on the solution?

Here are 5 related questions to expand your understanding:

1. How does changing the radius affect the volume of a sphere?
2. What would be the volume if the radius were doubled?
3. Can you derive the formula for the surface area of a sphere?
4. How does the use of a more accurate value for $\pi$ (e.g., 3.14159) affect the calculation?
5. What is the relationship between the volume of a sphere and the volume of a cylinder with the same radius and height?

Tip: When solving geometry problems involving $\pi$, keeping more digits for intermediate steps can improve accuracy in final answers.