Question

How do I make `h` the subject; `V=pi r^2 h`?

Answer 1

`h=V/(pir^2)`

Explanation:

`"given "V=pir^2h`

`"then to find h in terms of the other values divide both"`
`"sides by the multiplier of h"`

`"h is multiplied by "pir^2`

`"divide both sides by "pir^2`

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

`rArrh=V/(pir^2)`

Answer 2

`h=V/(pir^2)`

Explanation:

`V = pir^2h`

`V =pi.r^2.h`

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

`V/(pir^2)= h`

Answer 3

`h = V/(pir^2)`

Explanation:

You have `V = pi r^2 h`

Notice that there are only multiplication signs between the factors:

`pi xx r^2 xx color(blue)(h) = V" "larr` I moved the term with `h` to the left side

In order to isolate `color(blue)(h)`, you can get rid of all the other factors by dividing. Do the same on both sides.

`(cancel(pi xx r^2) xx color(blue)(h))/cancel(pir^2) = V/(pir^2)`

`color(blue)(h) = V/(pir^2)`