Cone Slant Height Calculator

The Cone Slant Height calculator calculates the slant height of a cone by taking its radius and height as inputs.

How to use Cone Slant Height Calculator

Enter ✎ value for radius \((r)\).
Enter ✎ value for height \((h)\).
The result appears beneath the inputs as you enter values.

About this calculation

The volume of a cone is the space enclosed by the curved surface and the circular base of the cone.

Formula

To calculate the cone slant height, you can use the following formula.

Slant Height = \( \sqrt{ r ^2 + h ^2 } \)

where

Calculation

{
  "topic": "cone-slant-height",
  "input_types": [
    "float",
    "float"
  ],
  "input_labels": [
    "r",
    "h"
  ],
  "input_values": [
    "8",
    "6"
  ],
  "input_units": [
    "units",
    "units"
  ],
  "input_descriptions": [
    "radius",
    "height"
  ],
  "examples": [
    {
      "r": 20,
      "h": 10
    },
    {
      "r": 1,
      "h": 0.5
    }
  ],
  "type": "Calculate",
  "title": "Cone Slant Height",
  "category": "Geometry",
  "shape": "Cone",
  "formula_mathjax": "\\( \\sqrt{ r ^2 + h ^2 } \\)",
  "formula_mathjax_sub": "\\( \\sqrt{ r ^2 + h ^2 } \\)",
  "formula": "Math.sqrt( r * r + h * h ) ",
  "op_label": "Slant Height",
  "output_unit": "units",
  "description": "The Cone Slant Height calculator calculates the slant height of a cone by taking its radius and height as inputs.",
  "explanation": "The volume of a cone is the space enclosed by the curved surface and the circular base of the cone."
}