What is the lateral area of the cone to the nearest whole number.

Height: 60 m.
Diameter: 160 m.

1 answer

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.
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