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

Answer:

$h = \frac{v}{\pi r^2}$

Step-by-step 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:

$v = \pi r^2h\\\\\frac{v}{\pi} = r^2h\\\\\frac{v}{\pi r^2} = h\\\\h = \frac{v}{\pi r^2}$

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.