Question

The formula for the lateral surface area of a cylinder is S=2πrhS=2πrh , where r is the radius of the bases and h is the height.

Solve for h.


a h=2Sπr


b h=Sr2π


c h=r2Sπ


d h=S2πr

Answer 1

First you want to get h alone so you divide 2πr by s so your answer would be

h=S/2πr

Answer 2

Option d is correct.

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

Explanation:

Lateral Surface Area of a Cylinder is directly proportional to the radius and the height of the cylinder.

The formula for the Lateral Surface Area of Cylinder is given by;

`S = 2\pi rh`

where

S represents the lateral surface Area

r is the radius of the cylinder and

h is the height of the cylinder.

To solve for h:

we have;

`S = 2\pi rh`

Divide both sides by
`2 \pi r` we have;

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

Simplify:

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

therefore, the height of the cylinder (h) =
`(S)/(2 \pi r)`