First you want to get h alone so you divide 2πr by s so your answer would be
h=S/2πr
Answer:
Option d is correct.
[tex]h = \frac{S}{2\pi r}[/tex]
Step-by-step explanation:
Lateral Surface Area of a Cylinder is directly proportional to the radius and the height of the cylinder.
The formula for the Lateral Surface Area of Cylinder is given by;
[tex]S = 2\pi rh[/tex]
where
S represents the lateral surface Area
r is the radius of the cylinder and
h is the height of the cylinder.
To solve for h:
we have;
[tex]S = 2\pi rh[/tex]
Divide both sides by [tex]2 \pi r[/tex] we have;
[tex]\frac{S}{2 \pi r} = \frac{2 \pi rh}{2 \pi r}[/tex]
Simplify:
[tex]h = \frac{S}{2 \pi r}[/tex]
therefore, the height of the cylinder (h) = [tex]\frac{S}{2 \pi r}[/tex]
