Given the equation for the total surface area of a cylinder, solve for the height of the cylinder. s = 2\pi rh + 2\pi rx^(2)

Question

Given the equation for the total surface area of a cylinder, solve for the height of the cylinder.


`s = 2\pi rh + 2\pi rx^(2)`

Answer 1

The answer is h=S/2pir-r

Answer 2

Explanation:

you will use simple math operations

first you will use common factor of 2pir

`s = 2\pi * rh + 2\pi * r ^(2)`

`s = 2\pi r(h + r)`

and divided s by it .t

Then subtract r from both sides and you will get h from one side

`(s)/(2\pi r) = h + r`

`(s)/(2\pi r) - r = h`