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=h/2πS

r=2Sπh

Answer 1

`2\pi rh=S\qquad\text{divide both sides by}\ 2\pi h\\eq0\\\\(2\pi rh)/(2\pi h)=(S)/(2\pi h)\\\\\boxed{r=(S)/(2\pi h)}`