Volume of a Cylinder Formula Explained, With Examples
Every volume of a cylinder result comes from one formula. Once you understand what goes into it, you can sanity-check any figure you are given, whether by an employer, a bank, a teacher or another website.
The formula
πr²h
What each input means
- Radius: the value you enter in the calculator.
- Height: the value you enter in the calculator.
Example
For example, with these inputs:
- Radius: 5
- Height: 10
the calculator returns:
- Volume: 785.3982
How the result changes
The table keeps the other inputs at their example values and changes radius.
| Radius | Volume |
|---|---|
| 5 | 785.3982 |
| 2.5 | 196.3495 |
| 3.75 | 441.7865 |
| 6.25 | 1,227.18 |
| 7.5 | 1,767.15 |
Why it matters
These calculations come up in school, at work and in daily life, from PSLE and O-Level practice to measuring a room for new flooring. Doing them by hand builds understanding, and a calculator lets you check the answer instantly.
Rounding is a common source of small errors. Keep full precision during intermediate steps and round only the final answer to the number of decimal places or significant figures the question asks for.
Each formula has assumptions built in. Area formulas assume flat shapes, volume formulas assume regular solids and statistical measures assume the data you enter is the data you want to describe. Knowing the assumptions helps you pick the right tool.
Calculators are best used to check working rather than replace it, especially for exams where method marks count. Work the problem by hand first, then confirm with the calculator.
Related calculations
- Area of a Parallelogram Calculator: Calculates the area of a parallelogram from the measurements you enter.
- Area of an Ellipse Calculator: Calculates the area of an ellipse from the measurements you enter.
- Area of a Rhombus Calculator: Calculates the area of a rhombus from the measurements you enter.
- Area of a Sector Calculator: Calculates the area of a sector from the measurements you enter.
Use the Volume of a Cylinder Calculator to plug in your own numbers.
Run your own numbers: Volume of a Cylinder Calculator