1. Select a Measurement
Choose radius when you know the distance from the centre of the base to its edge. Choose diameter when you know the complete width of the base.
Geometry Calculator
Volume of Cone Calculator
Find the volume of a cone from its radius or diameter and vertical height. The calculator provides accurate results, conversions and complete calculation steps.
Enter Cone Measurements
Use positive measurements in the same unit.
Formula used
V = ⅓ × π × r² × h
Calculation Result
Your result and supporting measurements appear here.
Cone Volume
0
cm³
Enter the cone measurements and select Calculate.
Radius Used
—
Base Area
—
Cubic Metres
—
Litres
—
Calculation Steps
- Select whether you know the radius or diameter.
- Enter the base measurement and vertical height.
- Press Calculate Cone Volume to view the steps.
How to Use the Volume of Cone Calculator
Calculate the cone’s volume in a few simple steps without performing the formula manually.
2. Enter Radius and Height
Enter the selected base measurement and the perpendicular height. Both values should use the same measurement unit.
3. Review Your Result
The tool displays the cone volume, base area, radius used, cubic metre conversion, litre conversion and calculation steps.
What Is the Volume of a Cone?
The volume of a cone is the total three-dimensional space enclosed inside its curved surface and circular base. Volume is measured in cubic units, such as cubic centimetres, cubic metres, cubic inches or cubic feet.
A cone with the same circular base and height as a cylinder has exactly one-third of that cylinder’s volume. This is why the cone volume formula contains the fraction one-third.
Radius and Diameter
The radius is the distance from the centre of the circular base to its outer edge. The diameter extends across the complete circular base through its centre.
The radius is always half of the diameter. When a diameter is entered, this calculator divides it by two before applying the cone volume formula.
Vertical Height
The height used in the volume formula is the perpendicular distance from the centre of the base to the cone’s tip. It is not the slant height measured along the cone’s side.
Cone Volume Example
Suppose a cone has a radius of 5 cm and a height of 12 cm.
V = ⅓ × π × 5² × 12
V = ⅓ × π × 25 × 12
V = 100π ≈ 314.159 cm³
Common Cone Volume Units
Volume is expressed in cubic units because it measures space across three dimensions.
| Measurement Unit | Volume Unit | Symbol | Common Uses |
|---|---|---|---|
| Millimetres | Cubic millimetres | mm³ | Small components and precision designs |
| Centimetres | Cubic centimetres | cm³ | Containers, models and classroom geometry |
| Metres | Cubic metres | m³ | Construction and large storage structures |
| Inches | Cubic inches | in³ | Manufacturing and imperial measurements |
| Feet | Cubic feet | ft³ | Storage, construction and material estimates |
| Yards | Cubic yards | yd³ | Soil, gravel and bulk material estimates |
Frequently Asked Questions
Helpful answers about calculating cone volume, measurements and units.
The formula is V = ⅓πr²h, where r is the base radius and h is the perpendicular height of the cone.
Divide the diameter by two to find the radius. Then square the radius, multiply it by π and the height, and divide the answer by three.
No. The standard formula requires the perpendicular height from the centre of the circular base to the tip. Slant height follows the cone’s angled side.
A cone occupies one-third of the space of a cylinder that has the same circular base radius and vertical height. Therefore, the cylinder formula is multiplied by one-third.
Yes. Convert both measurements to the same unit before calculating. For example, do not combine a radius in centimetres with a height in metres.
One cubic metre equals 1,000 litres, while one cubic centimetre equals one millilitre. This calculator automatically displays the equivalent volume in litres.
Yes, provided you use the perpendicular height rather than the slanted edge length. The same volume formula applies to right and oblique cones.