Question

Solve each equation or formula for the specified variable.

$V=\frac{1}{3}\pi r^{2}h$, for h.

Short answer

The required answer is $\frac{3V}{\pi r^2}=h$.

Step-by-step solution

Step 1- Determine the approach that can be used

Division of the variables except h on both the sides will help to isolate the variable h.

Step 2- Isolate the variable h

Perform division of $\frac{1}{3}\pi r^2$ on both the sides of the equation.

$\begin{array}{c}\frac{V}{\frac{1}{3}\pi r^2}=\frac{\frac{1}{3}\pi r^{2}h}{\frac{1}{3}\pi r^2}\\ \frac{3V}{\pi r^2}=h\end{array}$

Step 3- Make the conclusion

As the variable h is isolated so the value equivalent to it represents its value.