Respuesta :

Answer: Third option.

Step-by-step explanation:

The exercise is actually: "Identify the variation as direct, inverse, joint or combined:  [tex]V=r^2h[/tex]"

For this exercise it is important to remember that, by definition, a Joint variation is that variation in which one variable depends on two or more variables and  there are a direct relation between these variables.

In this case, you have the following equation given in the exercise:

[tex]V=r^2h[/tex]

 Let's assume that "r" and "h" are variables.

You can identify that:

  1. The variable "V" depends on the variables "r" and "h".
  2. The variables are related directly.

So, based on this, the variation can be read as:

"V" varies jointly with the square of "r" and "h".

Therefore, you can conclude that the  given variation is: Joint.