The lateral area of a cone can be calculated using the formula:
Lateral area = πr√(h^2 + r^2)
First, we need to find the radius of the cone, which is half of the diameter:
Radius = 160m / 2 = 80m
Next, substitute the radius and height into the formula:
Lateral area = π(80)√(60^2 + 80^2)
Lateral area = π(80)√(3600 + 6400)
Lateral area = π(80)√10000
Lateral area = 80π * 100
Lateral area ≈ 25133 m^2
Rounded to the nearest whole number, the lateral area of the cone is approximately 25133 m^2.
What is the lateral area of the cone to the nearest whole number.
Height: 60 m.
Diameter: 160 m.
1 answer