Question

The lateral surface area of a cylinder is given by the formula S=2 \pirh. Solve the equation for r.

Answer 1

The equation for r is given by:

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

Explanation:

It is given that:

The lateral surface area of a cylinder is given by the formula S=2πrh.

where π is an irrational number. r denotes the radius of the base of the cylinder and h denote the height of the cylinder.

Now, we are asked to solve for r.

i.e. we need to express r in terms of other variables with the help of the given formula.

Hence, we get:

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