Volume of a Cylinder
Volume of a Cylinder
\[V = \pi r^2 h\]
Variables
V = volume (m³)
r = radius of the cylinder base (m)
h = height of the cylinder (m)
Description
What is this formula?
This formula calculates the volume of a cylinder by multiplying the area of its circular base by its height.
When to use it
Use this formula when determining the internal capacity or occupied space of cylindrical objects and containers.
Example
If a cylinder has:
radius = 2 m
height = 5 m
V = π × 2² × 5
V = 20π
V ≈ 62.83 m³
Applications
- Geometry and mathematics
- Tank and pipe calculations
- Engineering and manufacturing
- Architecture and construction
- Fluid storage analysis
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