Question

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

Answer 1

h=V/r2

Explanation

v=r2h

v/r2=r2/r2 *h

V/r2=h

Answer 2

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.

`(1)/( \pi ) V= (1)/( \pi ) \pi r^2h`

`(1)/( \pi ) V= r^2h`

Now we multiply 1/r^2 on both the equations to isolate h.

`(1)/(r^2) (1)/( \pi ) V= (1)/(r^2)r^2h`

`(1)/(r^2) (1)/( \pi ) V=h`

So the final formula we have is:

`h= (V)/( \pi r^2)`