S is the bottom area and h is the height.

centre

1, which means:

Vertebra refers to a three-dimensional figure including a cone and a pyramid. , defined by a circular or other closed plane base and a surface formed by line segments connecting each point on the base boundary to a common vertex.

2. Concept:

Height of the cone: the distance from the apex of the cone to the center of the bottom of the cone is called the height of the cone;

Cone generatrix: the radius of the sector formed by the expansion of the cone side and the distance from any point to the vertex on the circumference of the bottom surface.

Lateral area of the cone: The side of the cone spreads along the generatrix and is a sector. The arc length of this sector is equal to the circumference of the bottom of the cone, and the radius of the sector is equal to the length of the generatrix of the cone. The lateral area of the cone is arc length, and the circumference of the cone bottom × bus/2; It is a surface when it is not expanded.

A cone has a bottom surface, a side surface, a vertex, a height, and countless generatrixes. The development diagram of the bottom surface is a circle, and the development diagram of the side surface is a fan.

The lateral expansion of the cone is a sector, and the known sector area is half of rl. Therefore, the side area of the cone is half of the generatrix arc length (that is, the perimeter of the bottom surface). In addition, the cone whose generatrix length is equal to the diameter of the bottom circle is a semicircle. The sector angles of all cones are equal to (base diameter ÷ generatrix) × 180 degrees.

Volume:

The size of the space occupied by a cone is called its volume.

The volume of a cone is equal to 65438+ 0/3 of the volume of a cylinder with equal bottom and equal height.

According to? The cylindrical volume formula V=Sh(V=πr2×h) gives the conical volume formula V= 1/3Sh.

S is the bottom area of the cone, H is the height of the cone, and R is the radius of the bottom surface of the cone.

The quadratic curve formula V= 1/3Sh is obtained.