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Respuesta :

Answer:

h = 12 m

[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of cylinder (r) = 5/2 = 2.5 m

[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]