Cone Calculator
Calculate volume, surface area, lateral area, and slant height of a cone.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
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Request a ToolHow to Use the Cone Calculator
Enter the radius and height of a cone to get its volume, surface area, lateral area, base area, and slant height.
- Enter the radius. Type the base radius of the cone.
- Enter the height. Type the perpendicular height from base to apex.
- Read the results. Volume is the primary result. The breakdown shows surface area, lateral area, base area, and slant height.
About Cone Calculations
A cone has volume V = (1/3) * pi * r^2 * h, exactly one-third of the cylinder with the same base and height. The slant height is l = sqrt(r^2 + h^2), found by the Pythagorean theorem. The lateral (side) surface area is pi * r * l, and the total surface area adds the circular base (pi * r^2). Cones appear in ice cream cones, traffic cones, volcanic shapes, and many engineering applications.
Frequently Asked Questions
What is the volume of a cone?
V = (1/3) * pi * r^2 * h. A cone holds exactly one-third the volume of a cylinder with the same radius and height.
How do you find the slant height?
The slant height l = sqrt(r^2 + h^2), using the Pythagorean theorem on the radius and height.
What is the difference between lateral area and total surface area?
Lateral area (pi * r * l) is just the sloping side. Total surface area adds the base circle area (pi * r^2).