Answer :
Let's analyze the function \( V(r) = \frac{4}{3} \pi r^3 \). We need to understand what \( V(r) \) represents.
1. Understand the Components:
- \( r \) stands for the radius of the basketball.
- \( \pi \) (pi) is a mathematical constant approximately equal to 3.14159.
- \( \frac{4}{3} \pi r^3 \) represents the volume of a sphere with radius \( r \).
2. Function \( V(r) \):
- This function takes the radius \( r \) as an input.
- It calculates the volume of a sphere (in this case, the basketball) using the formula for the volume of a sphere.
3. Interpreting \( V(r) \):
- \( V(r) \) gives us the volume of the basketball when given its radius \( r \).
4. Choosing the Appropriate Interpretation:
- The function \( V(r) \) depends on the radius \( r \) and yields the volume. Therefore, the most accurate interpretation would be:
The volume of the basketball when the radius is \( r \).
Thus, [tex]\( V(r) \)[/tex] represents the volume of the basketball when the radius is [tex]\( r \)[/tex].
1. Understand the Components:
- \( r \) stands for the radius of the basketball.
- \( \pi \) (pi) is a mathematical constant approximately equal to 3.14159.
- \( \frac{4}{3} \pi r^3 \) represents the volume of a sphere with radius \( r \).
2. Function \( V(r) \):
- This function takes the radius \( r \) as an input.
- It calculates the volume of a sphere (in this case, the basketball) using the formula for the volume of a sphere.
3. Interpreting \( V(r) \):
- \( V(r) \) gives us the volume of the basketball when given its radius \( r \).
4. Choosing the Appropriate Interpretation:
- The function \( V(r) \) depends on the radius \( r \) and yields the volume. Therefore, the most accurate interpretation would be:
The volume of the basketball when the radius is \( r \).
Thus, [tex]\( V(r) \)[/tex] represents the volume of the basketball when the radius is [tex]\( r \)[/tex].
