Question

How do you solve for h in `V= πr^2h`?

Answer 1

`h=V/(pir^2)`

Explanation:

Consider the simple equation `2x=6`

To solve for x, we divide both sides of the equation by 2

`rArr(cancel(2) x)/cancel(2)=6/2rArrx=3`

In a similar way, divide both sides by the multiplier of h.

`rArrpir^2h=V`

divide both sides by `pir^2`

`(cancel(pir^2) h)/cancel(pir^2)=V/(pir^2)`

`rArrh=V/(pir^2)`