Question

The formula for the volume of a cylinder is V=pie2h, where the r is the radius of the bar and h is the height of the cylinder. Solve the formula for h

Answer 1

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

Explanation:

You transcribed the equation incorrectly, but that's okay as I do know the correct volume formula. That is:

v = πr²h

In other words, the volume of a cylinder is simply the area of one of its circular ends, multiplied by its length. Now that we have that, let's solve for h:

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

So the height of the cylinder can be calculated given the volume and the radius, simply by dividing the volume by pi times the square of its radius.