Cone Volume Calculator
Calculate the volume of a cone from its radius and height.
Enter the radius of the base and the height of the cone. The volume is calculated using V = (1/3) × π × r² × h.
How to Calculate the Volume of a Cone
A cone is a three-dimensional shape with a circular base that tapers smoothly to a single point called the apex. The volume of a cone is exactly one third of the volume of a cylinder with the same base radius and height.
Formula
- Volume: V = (1/3) × π × r² × h
- r is the radius of the circular base
- h is the perpendicular height of the cone
Example: For a cone with radius 3 and height 9, the volume is (1/3) × π × 3² × 9 = 27π ≈ 84.823 cubic units.
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Note: This calculator provides mathematical calculations for cone volume based on the formula described. Results are accurate to the displayed decimal places. While we strive for accuracy, please verify important calculations independently. This tool is for educational and informational purposes and should not be the sole basis for financial, academic, or professional decisions.