Total Surface Area of a Cylinder
Total Surface Area of a Cylinder
\[A = 2\pi r(r + h)\]
Variables
A = total surface area (m²)
r = radius of the cylinder base (m)
h = height 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
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