Cone, a mathematical term, has two definitions. Analytic geometry definition: A spatial geometry consisting of a conical surface and a plane intersecting it (the intersection line is a circle) is called a cone. Definition of solid geometry: the straight line where one right-angled side of a right-angled triangle is located is the rotation axis, and the rotating body surrounded by the other two sides is called a cone. The right-angled side is called the axis of a cone.

Dictionary explanation: Geometry formed by taking the straight line where the right-angled side of a right-angled triangle is located as the rotation axis and rotating the other sides once. The rotation axis is called the axis of the cone, the length of this side on the axis is called the height of the cone, the circular surface rotating perpendicular to the axis is called the bottom surface of the cone, and the curved surface rotating not perpendicular to the axis is called the side surface of the cone. No matter where it rotates, this side is called the generatrix of the cone.

The lateral area of a cone is the 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.

Correlation formula of cone

Cone volume formula: V= 1/3Sh. The surface area of a cone consists of the side area and the bottom area. S=πRx2(n/360)+πrx2 or (1/2)αRx2+πrx2 (where n is an angle system, α is an arc system, and α=π(n/ 180). S-side = π rl = (nπ l 2)/360 (r: bottom radius, l: bus length, n: degree of central angle).

Bottom perimeter (C)=2πr=(nπl)/ 180(r: bottom radius, n: central angle, l: bus length), h= root sign (l 2-r 2) (l: bus length, r: bottom radius), total area (s) V (s).