Question

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

A. the radius of the basketball when the volume is V
B. the volume of the basketball when the radius is r
C. the volume of the basketball when the radius is V
D.the radius of the basketball when the volume is r

Answer 1

Option: B is the correct answer.

B. the volume of the basketball when the radius is r

Explanation:

Let 'r' denote the radius of basketball.

and 'V' denote the Volume of the basketball.

So as we know that the volume of the basketball depends upon the radius of the basketball as the shape of all the basketball is same but the size is different.

This means that the Volume of the basketball behaves as a dependent variable which depends upon the radius of the ball which behaves as a independent variable.

Hence, the Volume of the basketball can be modeled as a function of a radius which is written as: V(r)

Answer 2

Answer:- B. the volume of the basketball when the radius is r

Explanation:-

• A function is a special relation where each input(independent variable) has a single output (dependent variable).

Given: The function can be used to find the volume of air inside a basketball given its radius.

Here Independent variable= r→ radius of basketball

Dependent variable(depends on radius)= V(r)→ Volume of basketball when the radius is r.