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Three-dimensional geometric formulas in mathematical space
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.

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: central angle)

Bottom circumference (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 side +S bottom

V =1/3sh =1/3π r2h (s: bottom area, r: bottom radius, h: height).

V (cone) = 1/3 V (cylinder) = 1/3 SH = 1/3 π R2h (S: bottom area, r: bottom radius, h: height).

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