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Math Calculators

Cone Volume Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
units
units
Verified formula Private

Volume

84.8230

Slant height
9.4868
Total surface area
117.6856

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

How to use the Cone Volume Calculator

The Cone Volume Calculator works out your volume, along with 2 related figures 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 volume, together with slant height and total surface area — the calculator updates automatically, with no button to press.

Formula

The Cone Volume Calculator uses the formula:

Volume = 1 ÷ 3 × 3.141592653589793 × Base radius ^ 2 × Height

Worked example

For example, with base radius of 3 units and height of 9 units, the volume is 84.8230.

Inputs used
Base radius 3 units
Height 9 units
Results
Volume 84.8230
Slant height 9.4868
Total surface area 117.6856

Results are estimates for educational use, not professional advice.

Key terms explained

Surface area
The total area of all the outer faces of a three-dimensional object.
Radius
The distance from the centre of a circle or sphere to its edge.
Volume
The amount of three-dimensional space an object occupies, measured in cubic units.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

A cone holds one third of the cylinder with the same base and height: V = 1⁄3 πr²h. A cone with radius 3 and height 9 has a volume of about 84.82 cubic units.

The slant height is the distance from the base edge to the tip along the surface, found with √(r² + h²). For radius 3 and height 9 it is about 9.49 units.

Total surface area is πr(r + l), where l is the slant height. This adds the circular base to the curved side.

It is a geometric result: three identical cones exactly fill a cylinder of the same base and height, so the cone's volume is one third of πr²h.

Enter the base radius. Enter the height. Read off your volume, together with slant height and total surface area — the calculator updates automatically, with no button to press.

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