Question

Using your algebra skills, how can you rearrange the formula for the volume of a cylinder, V = πr2h, to find an expression for height h when you're given r and V? Remember to perform the same operation on both sides of the equation.

Answer 1

So you start with 
V = πr^2h
you divide both sides by πr^2
(v/πr^2) = h

Answer 2

Answer:

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

Step-by-step explanation:

Since, the volume of a cylinder,

$V=\pi (r)^2 h----(1)$

Where, r is the radius of the cylinder,

And, h is its height,

Divide both sides of equation (1) by  $\pi r^2$,

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

$\implies \frac{V}{\pi r^2}=h$

Hence, the required formula for finding the height, h of a cylinder when r and V is given,

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