Answer:
Lateral area of the cone = 4,712 m (Approx)
Step-by-step explanation:
Given:
Height of cone (h) = 40m
Radius (r) = Diameter / 2 = 60 / 2 = 30m
Find:
Lateral area of the cone = ? ?
Computation:
[tex]Slant\ height(l) =\sqrt{h^2+r^2} \\\\ Slant\ height(l) =\sqrt{40^2+30^2} \\\\ Slant\ height(l) =\sqrt{1,600+9,00} \\\\ Slant\ height(l) = 50m[/tex]
[tex]Lateral\ area\ of\ the\ cone =\pi rl\\\\ Lateral\ area\ of\ the\ cone = \frac{22}{7}(30)(50)\\\\Lateral\ area\ of\ the\ cone= 4,712 (Approx)[/tex]
The lateral area of the cone is 4,712 m.
The lateral area of a cone is defined as the area covered by the curved surface of the cone.
Given:
Height (h) = 40m
Diameter = 60 cm
Radius (r) = 60 / 2 = 30m
l=√r²+h²
l=√30²+40²
l=√900+1600
l= 50 cm
Lateral Surface Area of cone
= πrl
=3.14*30*50
= 4170
≈4712
Hence, the LSA of Cone is 4712 approx.
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