Use this cone volume calculator to quickly determine the volume of a cone using its radius and height. This tool helps you easily understand how to calculate cone volume using the correct geometry equation.
V = volume of the cone
r = radius of the base
h = height of the cone
π ≈ 3.14159
The cone volume formula states that the volume equals one third of the product of π, the square of the radius, and the height. This equation is also known as the volume of a cone formula used in geometry and engineering.
| Radius | Height | Volume |
|---|---|---|
| 2 | 5 | 20.943951 |
| 3 | 6 | 56.548668 |
| 4 | 8 | 134.041287 |
| 5 | 10 | 261.799388 |
| 7 | 12 | 615.752160 |
To understand how to calculate cone volume manually, you only need the radius and height of the cone.
1. Measure the radius of the circular base.
2. Measure the vertical height of the cone.
3. Square the radius value.
4. Multiply the result by π and the height.
5. Divide the result by three.
Using the volume of a cone formula, you can easily perform the calculation for geometry problems, construction planning, and container measurements.
This cone volume calculator performs the calculation instantly using the correct cone volume formula. Simply enter the radius and height values and the calculator automatically determines the result.
The calculator provides accurate results up to six decimal places and is useful for students, engineers, designers, and anyone studying geometry or learning how to calculate cone volume.
• Cones appear frequently in architecture, engineering, and design.
• Ice cream cones are a classic real-world example of this geometric shape.
• The volume of a cone is exactly one third of the volume of a cylinder with the same base and height.
• Many funnels and containers use conical shapes for efficient flow.
• The volume of a cone formula has been known since ancient Greek mathematics.