Cone Volume Calculator
Enter the radius and height of a cone to get its volume instantly, with the slant height and total surface area shown too — useful for geometry homework and quick real-world estimates like funnels or piles.
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How to use
- Enter the radius and vertical height.
- Slant height is found automatically with Pythagoras.
- Volume and both surface areas are shown below.
Note: A cone's volume is exactly one-third (1/3) of a cylinder with the same radius and height.
Tips
- Use the vertical height, not the slant height, in the volume formula V = 1/3 pi r squared h.
- The tool finds slant height with Pythagoras automatically — handy for surface area.
- Keep radius and height in the same unit before calculating.
- A cone holds exactly one third of a cylinder with the same radius and height.
Frequently Asked Questions (FAQ)
What does the Cone Volume Calculator find?
The volume, slant height and surface area of a cone.
What do I enter?
Just the radius r and the height h of the cone.
How is the slant height worked out?
From the radius and height with the formula l equals the square root of r squared plus h squared, which is then used for the surface area.
How does cone volume relate to a cylinder?
A cone volume is exactly one third of a cylinder with the same radius and height.
What is the tool useful for?
Geometry homework and quick real-world estimates like funnels, piles or containers.