Cone Calculator: Simple Math Tool

h r s h = height r = radius s = slant height

Formulas Used:

Slant Height: s = √(r² + h²)

Volume: V = (1/3) × π × r² × h

Surface Area: A = π × r × (r + s)

Where π ≈ 3.14159

This tool computes a cone's volume, surface area, and slant height. It shows a diagram with clear labels for radius, height, and slant height.

How to Use This Tool

Follow these steps:

  1. Type a positive number in the radius field.
  2. Select a unit from the list (units, cm, m, inches, or feet).
  3. Type a positive number in the height field.
  4. Click the calculate button.
  5. Review the results that appear below the input fields.

Input Fields Explained

The radius field expects a positive number. It defines the distance from the center to the cone's side. The height field needs a positive value too. It represents the vertical length of the cone. The unit selector lets you pick the scale you like.

Output Description

The tool displays the following results:

The page also shows formulas for these measurements. The slant height is calculated as the square root of (radius squared plus height squared). The volume is one-third multiplied by pi multiplied by the radius squared and the height. The surface area is pi multiplied by the radius and the sum of the radius and slant height.

Limitations and Special Notes

This tool works with positive numbers only. It stops if you provide zero or negative values. The calculator uses common geometry formulas. The diagram helps you match each measurement with its label. Use the unit selector to work on your preferred scale.

Common Use Cases

Students use this tool for math homework. Teachers show it in class to explain cone properties. Hobbyists check dimensions for craft projects. Anyone curious about cone geometry can get quick results.

Try the cone calculator to see how simple cone math can be.