Question

How do you solve for `r` in `\frac { 1} { 2} \pi r t = \frac { Q V } { s }`?

Answer 1

Multiply both sides by `2s` to remove the fractions

`pirst=2QV`

Divide by `pist`

`r=(2QV)/(pist)`

Answer 2

`r = (2QV)/(pits)`

Explanation:

You need to isolate the factor `r` on the left side.

`1/2pi color(blue)(r) t = (QV)/s" "larr` first `xx 2` on both sides

`cancel2 xx 1/cancel2 pi color(blue)(r) t = (2xxQV)/s`

Now divide both sides by `pi t`

`(pi color(blue)(r)t)/(pi t) = (2QV)/(pits)`

`color(blue)(r) = (2QV)/(pits)`