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:
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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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