Cone Calculator
Calculate cone properties: volume, slant height, lateral surface area, total surface area, and base area.
Cone Dimensions
010
Cone Diagram
Radius (r)
Height (h)
Slant (l)
Results
Enter valid dimensions to calculate
Cone Formulas
V = (1/3)πr²h
Volume of a cone
l = √(r² + h²)
Slant height (Pythagorean theorem)
Aₗ = πrl
Lateral (curved) surface area
Aₜ = πr(r + l)
Total surface area
Aᵇ = πr²
Base area (circle)
π ≈ 3.14159
Pi constant
About Cone Calculations
A cone is a three-dimensional geometric shape with a circular base that tapers smoothly to a point called the apex or vertex. This calculator helps you find all properties of a right circular cone when you know the base radius and height.
Key Properties
- Radius (r): Distance from center to edge of base
- Height (h): Perpendicular distance from base to apex
- Slant Height (l): Distance along the surface from base to apex
- Volume: Amount of space inside the cone
- Surface Area: Total area of all surfaces
How to Use
- Enter the base radius
- Enter the height
- Select your preferred unit
- All values calculate instantly
- Adjust precision as needed
Real-World Applications
- Ice cream cones and party hats
- Traffic cones and funnels
- Volcano shapes and mountains
- Architecture and construction (roofs, towers)
- Manufacturing and packaging design