Cone
The cone is a solid of revolution generated by a right triangle that rotates around one of its legs.
Axis
The axis is the fixed leg about which the triangle turns.
Base
The base is the circle that forms the other leg.
Height
The height is the distance from the apex to the base.
Slant Height
The slant height is the distance from any point on the circumference to the apex of the cone.
Unfold of a Cone
Lateral Area of a Cone
Surface Area of a Cone
Volume of a Cone
Examples
For a party, Louis has made about 10 conical hats out of cardboard. How much cardboard was used in total if each cap has a radius of 15 cm and a slant height of 25 cm?
Calculate the lateral area, surface area and volume of a cone whose slant height is 13 cm and its base radius is 5 cm.
Calculate the lateral area, surface area and volume of a cone whose height is 4 cm and its base radius is 3 cm.
