Cylinder volume calculator

Calculate cylinder volume from the base radius and height using V = πr²h. Use matching measurement units and check the formula and worked example.

Result

Layers of equal area

Every section parallel to the base has the same area. With a fixed radius, doubling the height doubles the volume.

How do you calculate cylinder volume?

Find the area of the base disc and multiply by perpendicular height. Radius measures one base, while height separates the two parallel base planes.

V = π \times r^{2} \times h

r = \frac{d}{2}

How to use the calculator

Enter measurements with a decimal point or comma: results update immediately. Input units apply to every length; changing them converts the measurements. Changing result units leaves the shape unchanged. The control below the drawing reveals or hides its visual explanation. Copy results includes valid measurements and the result. Reset and Try this example restore the initial values and centimetre units.

Choose radius or diameter: switching preserves the shape’s dimensions. Drawing handles always change the radius and also update the diameter when selected.

The first formula shows the relationship; the second substitutes measurements converted to the result unit. The ≈ sign indicates rounding, including in the substituted values.

A cylindrical container

A container with internal radius 3 cm and internal height 10 cm has geometric capacity 90π cm³, approximately 282.74 cm³ or 0.28 L.

From measurements to the result

Input: $r = 3 cm; h = 10 cm$
Result: $≈ 282.74 {cm}^{3}$

Calculation steps

Square the radius.
$r^{2} = 3^{2} = 9$
Complete the calculation using the tool’s formula.
$V = π \times 9 \times 10 = 90 \times π$

Units and interpretation

Volume uses cubic units: 1 m³ = 1,000,000 cm³ = 1,000 L. Capacity in litres is geometric; use internal measurements for real containers.

Capacity refers to the full cylinder. Walls, a thick bottom and unused headspace are not subtracted.

Precision and numerical limits

Lengths range from 0 to 10¹² in the selected unit; triangle sides must be strictly positive. Results use two decimal places, with scientific notation for very small or large values. Calculations use browser precision: unrepresentable positive values produce an error. A rejected unit change keeps the previous data. Calculation takes place in your browser.

Maximum diameter is 10¹² in the input unit. A rejected mode change keeps the previous data.

We count which tools are used most, without including entered values or file contents in the statistics. Privacy

Cylinder volume calculator

Result

Layers of equal area

How do you calculate cylinder volume?

How to use the calculator

A cylindrical container

From measurements to the result

Calculation steps

Units and interpretation

You might also need

Circle area

Circle circumference

Triangle area