Respuesta :

Answer:[tex]h=\frac{S-2\pi r^2}{2\pi r}[/tex]Explanation:

The given equation for the area of a cylinder is:

S = 2πr² + 2лrh

Subtract 2πr² from both sides

S - 2πr² = 2πr² - 2πr² + 2лrh

S - 2πr² = 2лrh

Divide both sides 2лr

[tex]\begin{gathered} \frac{S-2\pi r^2}{2\pi r}=\frac{2\pi rh}{2\pi r} \\ \\ h=\frac{S-2\pi r^{2}}{2\pi r} \end{gathered}[/tex]

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