Calculate sphere volume.
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Volume of a Cone Calculator
Quick answer
If radius is 5 and height is 12, the volume is 314.1593 cubic units.
Cone volume: Volume = ⅓ × π × radius² × height.
Enter your values
Volume
314.1593cubic units
The amount of three-dimensional space this occupies, in cubic units.
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About the Volume of a Cone Calculator
The volume of a cone is one third of the volume of a cylinder with the same base and height. Enter the radius of the base and the height to find how much a cone holds — for funnels, heaps of sand or grain, or party hats.
A cone with a radius of 5 and a height of 12 has a volume of about 314.16 cubic units.
Cone volume
Volume = ⅓ × π × radius² × height
Things to keep in mind
- Use the vertical height, not the slanted side.
- Use the same unit for radius and height.
- Three cones of water fill one cylinder of the same size.
See how the result changes
Each table re-runs this calculator with one value changed and everything else left as it is.
Volume by radius
If radius goes from 5 to 7.5, volume changes from 314.1593 cubic units to 706.8583 cubic units (+125%).
| Radius | Volume |
|---|---|
| 2.5 | 78.5398 cubic units |
| 3.75 | 176.7146 cubic units |
| 5start | 314.1593 cubic units |
| 7.5 | 706.8583 cubic units |
| 10 | 1,256.64 cubic units |
Volume by height
If height goes from 12 to 18, volume changes from 314.1593 cubic units to 471.2389 cubic units (+50%).
| Height | Volume |
|---|---|
| 6 | 157.0796 cubic units |
| 9 | 235.6194 cubic units |
| 12start | 314.1593 cubic units |
| 18 | 471.2389 cubic units |
| 24 | 628.3185 cubic units |
MATH GUIDE
A quick guide to Cone Volume
Use it to get an accurate volume in seconds — free, with no sign-up.
Instant results
See your volume the moment you enter your numbers.
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Every calculator here is free to use, with no account required.
Accurate & transparent
The same standard formula runs on our server for every calculation.
How to Use the Cone Volume Calculator
1
Enter Radius
Provide your radius.
2
Enter Height
Provide your height.
3
View Your Results
Get your volume instantly, calculated on our server.
What is Cone Volume?
This math tool works out your volume instantly, so you don't have to do the math by hand.
“One quick calculation, so you always know your volume before you decide.”
What Affects Your Volume
Your volume depends on the values below.
Radius
Changing your radius changes your volume.
Height
Changing your height changes your volume.
Example Result
Here's what you can expect from a cone volume calculation:
- Radius
- 5
- Height
- 12
- Volume
- 314.1593 cubic units
Frequently Asked Questions
- How does radius affect volume?
- If radius goes from 5 to 7.5, volume changes from 314.1593 cubic units to 706.8583 cubic units (+125%).
- How does height affect volume?
- If height goes from 12 to 18, volume changes from 314.1593 cubic units to 471.2389 cubic units (+50%).
- How to calculate cone volume?
- Fill in radius and height in the Volume of a Cone Calculator above and your volume is calculated instantly. Change any value to see how the result responds.
- What does an example cone volume calculation look like?
- If radius is 5 and height is 12, the volume is 314.1593 cubic units.
- Is this calculator free to use?
- Yes — every calculator on this site is completely free, with no sign-up or account required.
- How accurate is this calculator?
- It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.
- Is my data saved anywhere?
- No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.
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