Solving for a variable is an illustration of changing the subject of formula
The formula to calculate h is: [tex]h = \frac{3V}{ \pi r^2}[/tex]
The volume of a cone is:
[tex]V = \frac 13 \pi r^2h[/tex]
Multiply both sides by 3
[tex]3 \times V = \frac 13 \pi r^2h \times 3[/tex]
[tex]3V = \pi r^2h[/tex]
Divide both sides of the equation by [tex]\pi r^2[/tex]
So, we have:
[tex]\frac{3V}{ \pi r^2} = h[/tex]
Rewrite as:
[tex]h = \frac{3V}{ \pi r^2}[/tex]
Hence, the formula to calculate h is:
[tex]h = \frac{3V}{ \pi r^2}[/tex]
Read more about subject of formulas at:
https://brainly.com/question/16926278
