Question

The formula for the lateral surface area of a cylinder is S=2πrh , where r is the radius of the bases and h is the height. Solve for r. r=2hπ/S r=S/2πh r=2Sπh r=h/2πS

Answer 1

Answer:

Option B is correct.

$r = \frac{S}{2\pi h}$

Step-by-step explanation:

It is given that :

The formula for the lateral surface area of a cylinder is $S = 2\pi rh$

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: $S = 2\pi rh$

Divide both sides by $2 \pi h$,

$\frac{S}{2\pi h} =\frac{2\pi rh}{2\pi h}$

Simplify:

$r = \frac{S}{2\pi h}$

Therefore, the radius of the bases of the cylinder is, $r = \frac{S}{2\pi h}$