Solve for specific variable h #S=2pi*rh + 2pi*r^2# ?

#S=2pi*rh + 2pi*r^2#

1 Answer
Jim G.
Feb 27, 2018

#h=S/(pir)-r#

Explanation:

#"one way is as shown. There are other approaches"#

#S=2pirh+2pir^2#

#"reverse the equation to place h on the left side"#

#2pirh+2pir^2=S#

#"take out a "color(blue)"common factor of "2pir#

#2pir(h+r)=S#

#"divide both sides by "2pir#

#(cancel(2pir)(h+r))/cancel(2pir)=S/(2pir)#

#rArrh+r=S/(2pir)#

#"subtract r from both sides"#

#hcancel(+r)cancel(-r)=S/(2pir)-r#

#rArrh=S/(2pir)-r#

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