Question

How do you solve for h in `v=πr²h`?

Answer 1

`h=v/(pir^2)`

Explanation:

To solve for `h`, we need to isolate `h` so that it is the only variable on one side of the equation. If we divide both sides by `pir^2`, `h` is by itself. Thus:

`v=pir^2h`

`v/(pir^2)=(pir^2h)/(pir^2)`

`v/(pir^2)=(color(red)cancelcolor(black)(pir^2)h)/color(red)cancelcolor(black)(pir^2)`

`color(green)(|bar(ul(color(white)(a/a)h=v/(pir^2)color(white)(a/a)|)))`