Respuesta :

Answer:

[tex] h = \dfrac{S}{2 \pi r} - r [/tex]

Step-by-step explanation:

[tex] S = 2 \pi rh + 2 \pi r^2 [/tex]

[tex] 2 \pi rh + 2 \pi r^2 = S [/tex]

[tex] 2 \pi rh = S - 2 \pi r^2 [/tex]

[tex] h = \dfrac{S}{2 \pi r} - \dfrac{2 \pi r^2}{2 \pi r} [/tex]

[tex] h = \dfrac{S}{2 \pi r} - r [/tex]

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