Question

The volume of a cylinder is V = r2h. Solve for h (height) in this formula.

Answer 1

To clearly show the formula, the formula for the volume of a cylinder would be:
$V= \pi r^2h$
To isolate h on one side of the equation, we first multiply the reciprocal of pi on both of the sides of the equation.
$\frac{1}{ \pi } V= \frac{1}{ \pi } \pi r^2h$
$\frac{1}{ \pi } V= r^2h$

Now we multiply 1/r^2 on both the equations to isolate h.
$\frac{1}{r^2} \frac{1}{ \pi } V= \frac{1}{r^2}r^2h$
$\frac{1}{r^2} \frac{1}{ \pi } V=h$

So the final formula we have is:
$h= \frac{V}{ \pi r^2}$