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

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

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`,

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

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

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

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

Answer 2

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