Circular Cone

A right circular cone is a cone whose axis is a line segment joining the vertex to the midpoint of the circular base, as shown in Figure 17.

The volume of a right circular cone is calculated using the following formula:

(3-17)

The surface area of a right circular cone is calculated using the following formula:

(3-18)

Figure 17 Right Circular Cone

The surface area of a right circular cone is expressed in square circular cone is expressed in cubic units.

units, and the volume of a right

Example:

Calculate the volume and surface area of a right circular cone with r = 3", h = 4", and l = 5". Be sure to include the units in your answer.

Solution: