The surface area of the cone's lateral side is 4,712 square meters.
How to get the surface area
The lateral surface area (LSA) of a cone represents the total area covering its curved surface.
Given:
Height (h) = 40 meters
Diameter = 60 centimeters
Radius (r) = Diameter / 2 = 60 / 2 = 30 meters
l = √(r² + h²)
l = √(30² + 40²)
l = √(900 + 1600)
l = √2500
l = 50 centimeters
Lateral Surface Area of the cone
= π * r * l
= 3.14 * 30 * 50
= 4,170
= 4,712 square meters
Therefore, the approximate lateral surface area of the cone is 4,712 square meters.