Respuesta :

Answer: A=286.2 m²

Step-by-step explanation:

The surface area of a cone is [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex].

We are given h=11 m and r=5 m. With these values, we can plug them into the equation to find the surface area.

[tex]A=\pi (5)(5+\sqrt{11^2+5^2} )[/tex]

[tex]A=5\pi (5+\sqrt{146} )\\[/tex]

[tex]A= 268.2 m^2[/tex]

Answer:

The cone pictured has a surface area of_268.2___a0 square meters

Step-by-step explanation:

SA of a cone = πr² + πrs

s = slant height

s = √h² +r²

so combined together

SA of a cone = πr² + πr(√h² + r²) = πr(r +√h² + r²)

SA of a cone = 3.14*5(5+[tex]\sqrt{11^{2}+ 5^{2} }[/tex] ) =268.2038

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