Cone Volume Calculator
Determine the exact volume of a cone by entering its radius and height.
What is a Cone?
A pyramid with a circular base.
A cone is a three-dimensional geometric shape that tapers smoothly from a flat, circular base to a point called the apex or vertex.
How to Find Cone Volume
Calculating a cone's volume is straightforward.
Cone Volume Formula
The standard equation for a cone.
Where 'V' is volume, 'r' is the radius of the base, and 'h' is the vertical height.
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Frequently Asked Questions
How is a cone related to a cylinder?
The volume of a cone is exactly one×third the volume of a cylinder with the exact same base radius and height.
Do I use slant height or vertical height?
For volume calculations, you must always use the vertical height (altitude). The slant height is only used for calculating surface area.
What if my cone has the top cut off?
A cone with the top cut off is called a conical frustum, which requires a more complex formula to calculate its volume.
Is the formula different if the cone is tilted?
No, Cavalieri's principle states that an oblique (tilted) cone has the same volume as a right cone with the same base and vertical height.