Cone Volume Calculator
Find the volume of a cone or a truncated cone (frustum).
Change the values and press Calculate to work out your own figures.
Cone
Enter the radius and height.
| Amount | Unit |
|---|---|
| 1.067519967 | m³ |
| 1,067.519967 | liters |
| 37.69911184 | ft³ |
| 65,144.06526 | in³ |
| 1.396263402 | yd³ |
| 282.0089405 | US gallons |
Show the working
- V = 1/3 π r² h
- Volume = 37.69911184 ft³
Conical frustum
Enter the bottom radius, top radius and height.
| Amount | Unit |
|---|---|
| 4.151466537 | m³ |
| 4,151.466537 | liters |
| 146.6076572 | ft³ |
| 253,338.0316 | in³ |
| 5.429913228 | yd³ |
| 1,096.701435 | US gallons |
Show the working
- V = 1/3 π h (R² + R r + r²)
- Volume = 146.6076572 ft³
How to use it
Enter the radius and height. Enter the bottom radius, top radius and height.
Enter the measurements (decimals, fractions such as 3/4, or mixed numbers such as 1 1/2) and, if you like, their unit; the answer is then also given in other units. Show the working gives the formula.
Key facts
Cone V = ⅓ π r² h; frustum V = ⅓ π h (R² + R r + r²)
A third of a cylinder
A cone holds exactly a third of the cylinder with the same base and height.
Questions
What is the volume of a cone with radius 3 and height 4?
12π ≈ 37.69911184.
What is a frustum?
A cone with its tip cut off parallel to the base.
Formulas
Cone V = ⅓ π r² h; frustum V = ⅓ π h (R² + R r + r²)
Sources
Limitations
- All measurements in one calculation use the same unit; the answer is also given in other units.
- Measurements up to 10¹⁵.