# Cone Volume Calculator

Calculate the volume of a cone or conical frustum using the cone volume calculator below.  ## Volume:

Learn how we calculated this below

## How to Calculate the Volume of a Cone

A cone is a three-dimensional object with a rounded base and curved sides that extend to a point or vertex. You can calculate the volume of a cone given the dimensions of its base and the height of its vertex.

### Cone Volume Formula

You can use the following formula to find the volume of a cone:

V = 1 / 3πr²h

Thus, the volume of a cone is equal to 1/3 times pi times the length of the base radius r squared, times the height of the vertex h.

To calculate a cone’s volume, you need the height and radius, then apply the formula above. For example, let’s calculate the volume of a cone with a radius of 7 and a height of 22.

V = 1 / 3 × π × 7² × 22
V = 1128.9

So, the volume of this cone is 1128.9.

## How to Calculate the Volume of a Conical Frustum

A frustum is a three-dimensional object with a rounded base and a smaller rounded top, with a rounded side connecting the two planes. A frustum is essentially a horizontal slice of a cone. You can calculate the volume of a frustum given the dimensions of its top and base, and the height of the top from the base.

### Cone Volume Formula

You can use the following formula to find the volume of a frustum:

V = 1 / 3 × π × h × (R² + r² + (R × r))

Thus, the volume of a frustum is equal to 1/3 times pi times the height of the top from the base h, times the base radius R squared plus the top radius r squared, plus the product of the top and base radii.