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

2 Answers
Aug 6, 2018

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

#pirst=2QV#

Divide by #pist#

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

Aug 6, 2018

#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)#