Question

the formula for the surface area of a cylinder open at both ends is S = 2πrl, where l is the length. solve the formula for l.l = ?basically like v = lwh, h = v over lw (v/lw)

Answer 1

`l=(v)/(2\pi r)`

Step-by-step explanation

`v=2\pi rl`

Step 1

divide both sides of the equation by 2

`\begin{gathered} v=2\pi rl \\ (v)/(2)=(2\pi rl)/(2) \\ (v)/(2)=\pi rl \\ \end{gathered}`

Step 2

divide both sides by Pir

`\begin{gathered} (v)/(2)=\pi rl \\ \\ (v)/(2\pi r)=(\pi rl)/(\pi r) \\ (v)/(2\pi r)=l \\ \\ l=(v)/(2\pi r) \end{gathered}`

I hope this helps you