Answer:
Option B is correct.
[tex]r = \frac{S}{2\pi h}[/tex]
Step-by-step explanation:
It is given that :
The formula for the lateral surface area of a cylinder is [tex]S = 2\pi rh[/tex]
where
S represents the lateral surface area of cylinder,
r represents the radius of the bases and
h represents the height of the cylinder.
Solve for r;
Given: [tex]S = 2\pi rh[/tex]
Divide both sides by [tex]2 \pi h[/tex],
[tex]\frac{S}{2\pi h} =\frac{2\pi rh}{2\pi h}[/tex]
Simplify:
[tex]r = \frac{S}{2\pi h}[/tex]
Therefore, the radius of the bases of the cylinder is, [tex]r = \frac{S}{2\pi h}[/tex]
