When to use this calculator
Find a cone’s volume using its circular base radius and perpendicular height. The perpendicular height is different from the slant height.
Explore the volume & surface area calculators for other questions in this topic. For a related calculation, use the Conical Frustum Volume Calculator: Find the volume of a cone with its pointed top removed.
PUTTING IT INTO PRACTICE
Cone Volume: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Base radius | 3 |
| Perpendicular height | 9 |
| Result | 84.823002 cubic units |
- Check the input labels and enter the example values above.
- Apply the relationship: Volume = πr²h ÷ 3.
- The result is 84.823002 cubic units, rounded for display.
How to interpret your result
The perpendicular height is different from the slant height.
Volume and surface area have different units and answer different questions. Use internal dimensions for capacity. A closed-solid surface area includes bases and lids unless the calculator explicitly describes an open shape.
Frequently asked questions
Should I use internal or outside measurements?
Use internal measurements for capacity and outside measurements for covering the exterior. Match the formula to the part being measured.
How do I use the cone volume calculator?
Enter base radius, perpendicular height. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Volume = πr²h ÷ 3.
What should I check before using the result?
The perpendicular height is different from the slant height.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Calculators Map editorial process · Updated · Methods and limitations