Lateral Surface Area of a Cone
Lateral Surface Area of a Cone
\[A_L = \pi rl\]
Variables
AL = lateral surface area (m²)
r = radius of the cone base (m)
l = slant height of the cone (m)
Description
What is this formula?
This formula calculates the lateral surface area of a cone. It represents only the curved outer surface and excludes the circular base.
When to use it
Use this formula when calculating the curved surface area of conical objects.
Example
If a cone has:
radius = 4 m
slant height = 7 m
A_L = π × 4 × 7
A_L = 28π
A_L ≈ 87.96 m²
Applications
- Geometry and mathematics
- Engineering calculations
- Sheet metal fabrication
- Industrial design
- Surface material estimation
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