Answer:
Solving for h gives us:
[tex]h = \frac{S}{2\pi r}[/tex]
Step-by-step explanation:
Given that
Lateral surface area of cylinder = S = [tex]2\pi rh[/tex]
Solving the equation or formula for a particular variable involves isolating the variable on one side of the equation without any factor or denominator.
In the given formula:
Dividing both sides by 2πr
[tex]\frac{S}{2\pi r} = \frac{2\pi rh}{2\pi r}\\h = \frac{S}{2\pi r}[/tex]
Hence,
Solving for h gives us:
[tex]h = \frac{S}{2\pi r}[/tex]
