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.

Answer 1

`r=(S)/(2\pi h)`

Explanation:

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

`S=2\pi rh`

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:

`r=(S)/(2\pi h)`

Hence, the required result is:

`r=(S)/(2\pi h)`

Answer 2

Divide by the coefficient of r.

r = S/(2πh)