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Making r the subject of formula, we have; [tex]r = \frac{V}{\pi h^{2} } \; + \;\frac{h}{3}[/tex]

In Mathematics, making a variable the subject of formula simply means making the particular variable to be equal to all the other variable contained in an algebraic expression or mathematical equation. Thus, the subject of a formula is typically on the left-hand side of a mathematical equation while the other variables on the right-side.

Given the mathematical expression;

[tex]V = \pi h^{2}(r \; - \;\frac{h}{3} )[/tex]

To make "r" subject of formula​;

First of all, we would divide both sides by [tex]\pi h^{2}[/tex]

[tex]\frac{V}{\pi h^{2} } = r \; - \;\frac{h}{3}[/tex]

Next, we would rearrange the equation;

[tex]r = \frac{V}{\pi h^{2} } \; + \;\frac{h}{3}[/tex]

For more on subject of formula visit: https://brainly.com/question/17148850