Respuesta :

Answer:

287.64 square meters

Explanation:

The tube is in the shape of a cylinder with dimensions:

• Diameter=8.4 meters

,

• Height = 10.9 meters

The lateral surface area of any cylinder is obtained using the formula:

[tex]\text{Lateral Area}=2\pi rh^{}[/tex]

First, recall that:

[tex]\text{Diamter}=2r[/tex]

Therefore:

[tex]\begin{gathered} \text{Lateral Area}=2r\times\pi\times h^{} \\ =8.4\times\pi\times10.9 \\ =287.64\; m^2 \end{gathered}[/tex]

The lateral surface area of the pipe is 287.64 square meters (correct to the nearest hundredth).

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