Calculate the volume of a right circular cone given its radius and height.
Cone Parameters
Volume Result
Volume (V)94.2478
Slant Height (s)10.4403
About this calculator
Volume of a Cone
A cone is a 3D geometric shape that tapers smoothly from a flat base to a 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.
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Pro Tips
Ensure radius and height are measured in the same units.
The slant height (s) is the distance from the edge of the base to the apex: s = √(r² + h²).
This formula applies to 'right' circular cones where the apex aligns with the center of the base.
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Fun Facts
"Ice cream cones were popularized at the 1904 St. Louis World's Fair."
"Apollonius of Perga (c. 200 BC) gave cones their names like 'ellipse', 'parabola', and 'hyperbola' based on their cross-sections."
