Volume of Cone Calculator

Calculate the volume, surface area, and slant height of a cone by entering the radius and height. This calculator uses precise mathematical formulas to provide accurate results for cone measurements.

How to Use the Cone Calculator

1. Enter the radius of the cone's base in the "Radius" field
2. Enter the height of the cone (perpendicular distance from base to apex) in the "Height" field
3. Click the "Calculate" button to see the results
4. The calculator will display the volume, surface area, and slant height

Cone Formulas

The calculator uses the following mathematical formulas:

• Volume: V = (1/3) × π × r² × h
• Slant Height: l = √(r² + h²)
• Surface Area: A = π × r × (r + l)

What is a Cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat circular base to a point called the apex or vertex. Common examples include traffic cones, ice cream cones, and party hats. Understanding cone measurements is essential in geometry, engineering, architecture, and manufacturing.

Applications

• Engineering and design projects requiring cone-shaped components
• Volume calculations for conical containers and tanks
• Educational purposes in geometry and mathematics
• Material estimation for manufacturing conical objects
• Architecture and construction planning