\[A = 2\pi r(r + h)\]
Variables
Atotal surface area (m²)
rradius of the cylinder base (m)
hheight of the cylinder (m)
Description
What is this formula?
This formula calculates the total surface area of a cylinder, including both circular bases and the curved lateral surface.
When to use it
Use this formula when determining the total external area of cylindrical objects or containers.
Example
If a cylinder has:
radius = 2 m
height = 6 m
A = 2π × 2 × (2 + 6)
A = 32π
A ≈ 100.53 m²
Applications
- Geometry and mathematics
- Tank and pipe design
- Material estimation
- Industrial manufacturing
- Engineering calculations