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



[tex]s = 2\pi rh + 2\pi rx^{2}[/tex]

Respuesta :

Step-by-step explanation:

you will use simple math operations

first you will use common factor of 2pir

[tex]s = 2\pi \times rh + 2\pi \times r ^{2} [/tex]

[tex]s = 2\pi r(h + r)[/tex]

and divided s by it .t

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

[tex] \frac{s}{2\pi r} = h + r[/tex]

[tex] \frac{s}{2\pi r} - r = h[/tex]

The answer is h=S/2pir-r