Question

Please Help

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.


h=r/2Sπ

h=2Sπr

h=S/2πr

h=Sr/2π

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

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

Explanation:

we know that

The surface lateral area of a cylinder is equal to

`S=2\pi rh`

where

r is the radius of the base of the cylinder

h is the height of the cylinder

Solve for h-------> means isolate the variable h

so

Divide by
`2\pi r` both sides

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

Simplify

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