Lateral Surface Area of a Frustum
Lateral Surface Area of a Frustum
\[A_L = \pi (R + r)l\]
Variables
AL = lateral surface area (m²)
R = radius of the larger base (m)
r = radius of the smaller base (m)
l = slant height of the frustum (m)
Description
What is this formula?
This formula calculates the lateral surface area of a frustum of a cone. It represents only the curved side surface, excluding both circular bases.
When to use it
Use this formula when calculating the curved surface area of truncated conical objects.
Example
If a frustum has:
R = 6 m
r = 3 m
l = 5 m
A_L = π(6 + 3) × 5
A_L = 45π
A_L ≈ 141.37 m²
Applications
- Geometry and mathematics
- Engineering design
- Manufacturing
- Sheet metal development
- Industrial modeling
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