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.

Respuesta :

Divide by the coefficient of r.

r = S/(2πh)

Answer:

[tex]r=\frac{S}{2\pi h}[/tex]

Step-by-step explanation:

We have been given the formula for lateral surface area of a cylinder is

[tex]S=2\pi rh[/tex]

r is radius and h is height of the given cylinder

we have to find r

We will rearrange the terms for the r as follows:

[tex]r=\frac{S}{2\pi h}[/tex]

Hence, the required result is:

[tex]r=\frac{S}{2\pi h}[/tex]