Respuesta :

Answer:

[tex]SA=264\pi\ m^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to

[tex]SA=2[\pi rl]+2\pi rh[/tex]

we have

[tex]r=6\ m[/tex]

[tex]l=8\ m[/tex] ----> slant height of the cone

[tex]h=14\ m[/tex] ---> height of the cylinder

substitute

[tex]SA=2[\pi (6)(8)]+2\pi (6)(14)[/tex]

[tex]SA=96\pi+168\pi[/tex]

[tex]SA=264\pi\ m^{2}[/tex]

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