Cylinder Calculator
Calculate cylinder volume, lateral surface area and total surface area from radius and height.
Cylinder Calculator
Calculate cylinder volume, lateral surface area and total surface area from radius and height.
How to use the Cylinder Calculator
- Enter the radius.
- Enter the height.
- Click Calculate.
Formula
Volume = πr²h
Lateral surface = 2πrh
Total surface = 2πr(r + h)
Example
Radius 5, height 12: Volume = π×25×12 ≈ 942.478. Total surface ≈ 565.487.
Step-by-step calculation
- Volume: π × 5² × 12 = π × 300 ≈ 942.478.
- Lateral: 2π × 5 × 12 ≈ 376.991.
- Total: 2π × 5 × 17 ≈ 565.487.
Real-world uses
- Tank volume calculations.
- Pipe and duct sizing.
- Packaging design.
Common mistakes
- Using diameter instead of radius.
- Confusing lateral and total surface area.
- Forgetting to square the radius in the volume formula.
Frequently asked questions
What is the difference between lateral and total surface area?
Lateral is just the curved side. Total includes the two circular end caps.
How do I find the radius from diameter?
Divide by 2. Radius = Diameter ÷ 2.
Can I use this for a pipe?
Yes. The volume gives you internal capacity. For material volume, subtract inner cylinder from outer.