Slant Height of a Cone
Slant Height of a Cone
\[l = \sqrt{r^2 + h^2}\]
Variables
l = slant height of the cone (m)
r = radius of the cone base (m)
h = height of the cone (m)
Description
What is this formula?
This formula calculates the slant height of a right circular cone using the radius and vertical height. It is derived from the Pythagorean theorem.
When to use it
Use this formula when determining the inclined side length of a cone for geometry or engineering calculations.
Example
If a cone has:
radius = 3 m
height = 4 m
l = √(3² + 4²)
l = √25
l = 5 m
Applications
- Geometry and mathematics
- Cone surface calculations
- Engineering and manufacturing
- Construction and design
- Industrial fabrication
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