Volume of a Cone
Volume of a Cone
\[V = \frac{1}{3}\pi r^2 h\]
Variables
V = volume (m³)
r = radius of the cone base (m)
h = height of the cone (m)
Description
What is this formula?
This formula calculates the volume of a cone by multiplying the area of its circular base by its height and dividing the result by three.
When to use it
Use this formula when determining the internal capacity or occupied space of conical objects and structures.
Example
If a cone has:
radius = 3 m
height = 6 m
V = (π × 3² × 6) / 3
V = 18π
V ≈ 56.55 m³
Applications
- Geometry and mathematics
- Engineering calculations
- Architecture and design
- Industrial manufacturing
- Storage and fluid analysis
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