Volume of a Cylinder
\[V = \pi r^2 h\]

Variables

Vvolume (m³)
rradius of the cylinder base (m)
hheight 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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