The functionV(r)=34​πr3  can be used to find the volume of air inside a basketball given its radius. What does *V*(*r*) represent?

the volume of the basketball when the radius is *r*

the volume of the basketball when the radius is *V*

the radius of the basketball when the volume is *r*

the radius of the basketball when the volume is *V*

The function \( V(r) = \frac{4}{3}\pi r^3 \) represents the volume of a basketball as a function of its radius \( r \). In this case, \( V(r) \) gives the **volume of the basketball when the radius is \( r \)**.

Thus, the correct answer is:

- **The volume of the basketball when the radius is \( r \).**

Would you like more details on how this formula works?

Here are 5 related questions:
1. How do you derive the volume formula for a sphere?
2. What is the volume of a basketball with a radius of 5 inches?
3. How does changing the radius affect the volume of a sphere?
4. How can you solve for the radius if the volume is known?
5. What units would the volume be in if the radius is measured in meters?

**Tip:** The volume of a sphere grows very quickly as the radius increases because of the cubic relationship.

The function V(r)=34πr3  can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?

the volume of the basketball when the radius is r
the volume of the basketball when the radius is V
the radius of the basketball when the volume is r
the radius of the basketball when the volume is V

Explore how the function V(r) = (4/3)πr^3 determines the volume of a basketball given its radius. Learn key geometry concepts, including the volume formula for spheres, suitable for students in Grades 8-10.

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