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

$2\pi rh=S\qquad\text{divide both sides by}\ 2\pi h\neq0\\\\\dfrac{2\pi rh}{2\pi h}=\dfrac{S}{2\pi h}\\\\\boxed{r=\dfrac{S}{2\pi h}}$