Cone Volume and Surface Area Calculator
Calculate volume, surface area, and slant height of cones with detailed 3D geometry analysis
About this calculator
This comprehensive cone calculator instantly computes volume, surface area, and slant height using fundamental geometric formulas. Perfect for students, engineers, architects, and professionals working with conical structures like traffic cones, ice cream cones, or architectural elements. The tool provides detailed 3D geometry analysis, helping users understand spatial relationships and measurements. Whether you're solving homework problems, designing containers, or calculating material requirements for construction projects, this calculator delivers precise results with clear visual representations of cone dimensions.
How to use
Enter the cone's radius and height values into the input fields. The calculator will automatically compute the volume using V = (1/3)πr²h, surface area using SA = πr(r + l), and slant height using l = √(r² + h²). Results display instantly with detailed breakdowns of lateral surface area, base area, and total measurements.
Frequently asked questions
What's the difference between height and slant height?
Height is the vertical distance from base to apex, while slant height is the distance along the cone's surface from base edge to apex.
How do I find cone volume without the height?
You need either height or slant height plus radius. Use Pythagorean theorem: height = √(slant height² - radius²).
What units does this calculator accept?
The calculator works with any consistent units (inches, centimeters, meters, etc.). Just ensure all inputs use the same unit system.