Respuesta :

Answer:

The lateral surface area of the cone is [tex]25120\ m^2[/tex].

Step-by-step explanation:

We have.

Height of a cone is 60 m

Diameter of a cone is 10 m

Radius, r = 80 m

The lateral surface area of a cone is given by :

[tex]A=\pi rl[/tex]

l is slant height of the cone,

[tex]l=\sqrt{60^2+80^2} =100\ m[/tex]

Plugging all values in above formula,

[tex]A=3.14\times 80\times 100\\\\A=25120\ m^2[/tex]

So, the lateral surface area of the cone is [tex]25120\ m^2[/tex].

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