Cone Volume Calculator
Enter a cone's radius and height to calculate its volume, using V = (1/3)πr²h.
Last updated: August 30, 2026
Frequently asked questions
What's the formula for the volume of a cone?
V = (1/3)πr²h, where r is the radius of the circular base and h is the height from the base to the apex. It's exactly one-third the volume of a cylinder with the same base and height.
Is 'volume of a cone formula,' 'formula volume of a cone,' and 'formula of a cone volume' the same question?
Yes - these are all reordered phrasings of the same search: the formula for a cone's volume, V = (1/3)πr²h. This calculator plugs your radius and height into that formula directly, so you don't need to do the arithmetic by hand.
What about 'formula for cone volume,' 'cone volume formula,' 'volume formula of a cone,' and 'volume for a cone formula'?
All the same question, just reordered - every one of these is asking for the cone volume formula, V = (1/3)πr²h. Enter your radius and height above and this calculator applies it for you.
Does 'cones volume formula,' 'formulas for volume of a cone,' 'formula volume of cone,' and 'formula for volume of cone' mean anything different?
No - plural, singular, and reordered versions of the same phrase all point to the same thing: the cone volume formula, V = (1/3)πr²h. This calculator computes it directly from your radius and height, whichever way you searched for it.
What about 'formula for volume of a cone,' 'volume for cone formula,' 'formula cone volume,' 'formula of cone volume,' and 'formula volume for cone'?
Same answer every time: the cone volume formula is V = (1/3)πr²h. However this phrase gets reordered or abbreviated, it's asking for that one formula, which this calculator applies to your radius and height automatically.
Is 'volume of the cone,' 'volume for a cone,' 'volume of conical,' and 'cones volume' the same search?
Yes - "conical" is just the adjective form of "cone," and the rest are simple word-order or plural variations. All of them mean the same volume formula, V = (1/3)πr²h, which this calculator computes from your radius and height.
What about 'volume of a conical shape,' 'volume cone,' and 'cone of volume'?
Still the same thing - a "conical shape" is just a cone, and the terse two-word versions are the same search with the words dropped or reordered. All of them mean V = (1/3)πr²h.
Why is a cone's volume exactly 1/3 of a cylinder's?
This is a geometric fact provable with calculus (integrating circular cross-sections that shrink linearly to a point) - for any cone and cylinder sharing the same base radius and height, the cone always encloses exactly one-third the volume, regardless of the specific radius or height.
What's the difference between height and slant height?
Height is the straight vertical distance from the base to the apex; slant height is the distance along the cone's curved surface from the base edge to the apex. Slant height is always longer than height (except in the degenerate case of zero radius), and is calculated as √(r² + h²).