Area and Volume Formulas Made Simple
The essential area, perimeter and volume formulas for circles, rectangles, triangles, spheres and cylinders — what they mean, how to handle composite shapes, and how to keep units straight.
Cylinder Volume Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Volume
785.3982
- Total surface area
- 471.2389
- Lateral surface area
- 314.1593
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Cylinder Volume Calculator
The Cylinder Volume Calculator works out your volume, along with 2 related figures in an instant. Enter base radius and height and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the base radius.
- Enter the height.
- Read off your volume, together with total surface area and lateral surface area — the calculator updates automatically, with no button to press.
Formula
The Cylinder Volume Calculator uses the formula:
Volume = 3.141592653589793 × Base radius ^ 2 × Height
Worked example
For example, with base radius of 5 units and height of 10 units, the volume is 785.3982.
| Base radius | 5 units |
|---|---|
| Height | 10 units |
| Volume | 785.3982 |
|---|---|
| Total surface area | 471.2389 |
| Lateral surface area | 314.1593 |
Results are estimates for educational use, not professional advice.
Key terms explained
- Surface area
- The total area of all the outer faces of a three-dimensional object.
- Radius
- The distance from the centre of a circle or sphere to its edge.
- Volume
- The amount of three-dimensional space an object occupies, measured in cubic units.
- Area
- The amount of two-dimensional space a shape covers, measured in square units.
Frequently asked questions
Multiply the area of the circular base by the height: V = πr²h. A cylinder with radius 5 and height 10 has a volume of about 785.4 cubic units.
Total surface area is 2πr(r + h), which adds the two circular ends to the curved side. For radius 5 and height 10 it is about 471.24 square units.
It is the curved side only, without the ends: 2πrh. This is useful for finding how much material wraps around the cylinder.
Cubic units of whatever you entered — if the radius and height are in centimetres, the volume is in cubic centimetres.
The Cylinder Volume Calculator uses the formula: Volume = 3.141592653589793 × Base radius ^ 2 × Height. For example, with base radius of 5 units and height of 10 units, the volume is 785.3982.
Enter the base radius. Enter the height. Read off your volume, together with total surface area and lateral surface area — the calculator updates automatically, with no button to press.
Related guides
Cylinder Volume Table: Volume by Base radius
Reference table of volume for Cylinder Volume across a range of base radius values — exact, engine-computed figures you can read off at a glance.
How to Calculate Cylinder Volume: Formula, Steps & Examples
Learn how to calculate Cylinder Volume — the formula explained step by step, with worked examples and a free calculator to check your answer.