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=2Sπh r=h/2πS

Answer 1

The radius of the base of a cylinder, denoted as 'r', can be solved from the lateral surface area formula 'S=2πrh' by rearranging the formula to 'r = S / (2πh)'.

Step-by-step explanation:

The question requires solving for r (the radius of the bases) from the formula for the lateral surface area of a cylinder, which is S=2πrh. To solve for r, we start by isolating r on one side of the equation. Here's how we can do it step by step:

1. Start with the formula for lateral surface area: S=2πrh.
2. Divide both sides of the equation by 2πh to isolate r: S / (2πh) = r.
3. Thus, the formula for r is r = S / (2πh).

This equation shows that the radius can be found by dividing the lateral surface area by twice the product of π and the height of the cylinder.

Answer 2

Option B is correct.

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

Step-by-step explanation:

It is given that :

The formula for the lateral surface area of a cylinder is
`S = 2\pi rh`

where

S represents the lateral surface area of cylinder,

r represents the radius of the bases and

h represents the height of the cylinder.

Solve for r;

Given:
`S = 2\pi rh`

Divide both sides by
`2 \pi h`,

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

Simplify:

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

Therefore, the radius of the bases of the cylinder is,
`r = (S)/(2\pi h)`