A cone is a pyramid-like solid figure with a circular base. The radius (r) and diameter (d) of a cone refer to its circular base. The height (h) or altitude (a) is the perpendicular distance from the apex to the base. There are right and oblique cones. If a cone`s tip is cut away, it is a frustum of a cone. Cuts at different angles on either right or oblique cones produce a variety of conic sections. Cones and conical parts are found around tanks, pipes, machinery guards and hoppers, ductwork, projectiles.

Oblique Cone Right Cone

**VOLUME OF A CONE**

Formula for the volume of a cone

**Example:**

Calculate the volume of a cone that has a radius of 35 cm and a height of 100 cm.

The volume of the cone is 128,281.7 cm^{3}

In your trades books the word “altitude” (A) may be used instead of height (h).

The formula then looks like this:

The problem with altitude (A) is that the word “area” is also abbreviated as (A)

To avoid confusion, the word altitude is not used on this site, only in aviation or steering geometry context.

Check out the ADVANCED tab. The exercises will further your understanding and help with building a bigger mental picture. It builds links between numbers and algebra. It is important to sketch the shapes, label the shapes with the given numbers, tracking changes to units of measure, visualizing to cross-link the concepts of volume and numbers. We use the numbers from this dirt pile example.