Respuesta :

Answer:

48984 m^2

Step-by-step explanation:

The height(h) of cone is given by: 50 m.

Diameter of cone is: 240 m.

Also radius(r) of cone is:240/2=120 m.

The lateral surface(S) area is given by:

Ver imagen savanna5475

The lateral area of the cone comes out to be 48984 m^2.

What is lateral area?

The formula of the lateral area of cone is given by, area = pi×r×L

The amount of territory occupied by the curved surface area of a cone is known as the lateral surface area.

The lateral surface area of a cone is also in the three-dimensional plane because it is a three-dimensional form. The shape of a cone is created by stacking and rotating several triangles around an axis. Since a cone has a flat base so it has curved surafce area as well as total surface area.  A cone's lateral area is measured in square units, such as cm2, m2, in2, and so on.

Given,

Height of cone : 50m

Diameter of cone: 240m

so,it's radius will be 120m

L = [tex]\sqrt{r^{2}+h^{2}}[/tex]

L = [tex]\sqrt{120^{2} +50^{2} }[/tex]

L = 130

since,Area = pi×r×L

=3.14×120×130

=48984m^2

Learn more about lateral area here,

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