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)

Respuesta :

[tex]l=\frac{v}{2\pi r}[/tex]

Explanation

[tex]v=2\pi rl[/tex]

Step 1

divide both sides of the equation by 2

[tex]\begin{gathered} v=2\pi rl \\ \frac{v}{2}=\frac{2\pi rl}{2} \\ \frac{v}{2}=\pi rl \\ \end{gathered}[/tex]

Step 2

divide both sides by Pir

[tex]\begin{gathered} \frac{v}{2}=\pi rl \\ \\ \frac{v}{2\pi r}=\frac{\pi rl}{\pi r} \\ \frac{v}{2\pi r}=l \\ \\ l=\frac{v}{2\pi r} \end{gathered}[/tex]

I hope this helps you