Cones

Definition of Cones

Cones are geometric three-dimensional shapes that have a circular base and a pointed tip called the apex or vertex. They are classified as a type of solid figures and are widely used in various fields of mathematics, science, and engineering.

Properties of Cones

Cones possess several key properties:

Base: The base of a cone is a circular shape that lies flat on a plane.
Apex: The apex, also known as the vertex, is the topmost point of the cone.
Height: The height of a cone is the perpendicular distance between the apex and the base.
Slant height: The slant height is the distance from the apex of the cone to any point on the circular base, measured along the curved surface.
Lateral surface: The lateral surface of a cone refers to the curved surface that connects the base to the apex.
Volume: The volume of a cone is given by the formula V = (1/3)πr²h, where r represents the radius of the base and h represents the height.
Surface area: The surface area of a cone is calculated as the sum of the area of the base and the lateral surface area, given by A = πr² + πrl, where r is the radius of the base and l is the slant height.