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:
\(h= \frac{V}{ \pi r^2}\)
