# Cones

Three cones have the same volume as one cylinder of the same diameter and height.

Remember the volume of a cylinder is .

The volume of the cone is one third of the volume of the cylinder.

The formula for the volume of a cone is:

A cone is made from a circle and a of a circle. The sector creates the curved surface of the cone.

The curved surface area of a cone can be calculated using the formula:

is the slanted height.

The total surface area of the circular base and the curved surface is:

### Example

Calculate the volume and total surface area of the cone (to 1 decimal place).