How to Calculate Volume of a Cylinder: A Step-by-Step Guide
Calculates the volume of a cylinder from the measurements you enter. Use any unit, as long as all inputs use the same one.
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.
What you need
- Radius
- Height
Step by step
- Enter the radius.
- Enter the height.
- The results update as you type, or press Calculate.
- Read the volume first, then the supporting figures below it.
The formula
πr²h
Worked example
For example, with these inputs:
- Radius: 5
- Height: 10
the calculator returns:
- Volume: 785.3982
A second example
Now change the inputs to:
- Radius: 6.25
- Height: 10
the calculator returns:
- Volume: 1,227.18
Practical tips
- Keep units consistent: convert everything to the same unit before calculating.
- When numbers are very large or small, scientific notation makes them easier to compare.
- For exam work, show your method; marks are often given for working, not just the answer.
- Use brackets to make the order of operations explicit.
Background
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.
A quick mental estimate before calculating is a powerful check. If a room's floor area comes out at 4,000 square metres or a percentage comes out above 100% when it should not, you know to look again.
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.
Want to skip the arithmetic? The free Volume of a Cylinder Calculator does all of this instantly and updates as you type.
Run your own numbers: Volume of a Cylinder Calculator