Skip to content
Math Calculators

Cone Slant Height Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Slant height

5.000000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Cone Slant Height Calculator

The Cone Slant Height Calculator works out your slant height in an instant. Enter base radius and height and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the base radius.
  2. Enter the height.
  3. Read off your slant height — the calculator updates automatically, with no button to press.

Formula

The Cone Slant Height Calculator uses the formula:

Slant height = √(Base radius ^ 2 + Height ^ 2)

Worked example

For example, with base radius of 3 and height of 4, the slant height is 5.000000.

Inputs used
Base radius 3
Height 4
Results
Slant height 5.000000

Results are estimates for educational use, not professional advice.

Key terms explained

Radius
The distance from the centre of a circle or sphere to its edge.

Frequently asked questions

Use the Pythagorean theorem on radius and height: slant = √(r² + h²). For radius 3 and height 4 it is 5.

It is the distance from the apex to the edge of the base along the cone's surface, not straight down the centre.

The radius, height and slant height form a right triangle, with the slant height as the hypotenuse.

It is needed for a cone's lateral surface area and for making patterns to roll a cone.

The Cone Slant Height Calculator uses the formula: Slant height = √(Base radius ^ 2 + Height ^ 2). For example, with base radius of 3 and height of 4, the slant height is 5.000000.

Enter the base radius. Enter the height. Read off your slant height — the calculator updates automatically, with no button to press.

Related calculators