Formula for calculating the perimeter of cylinders and cones

Three-dimensional figure to find the perimeter... o__o"…）

Circumference of the conical base circle: 2 r

r is the radius of the base circle).

Perimeter of the cone diagram: 2 r+2l

l is the busbar of the cone).

Cylindrical side area.

The side area of the original column = the perimeter of the bottom surface The height of the cylinder.

S side = c h

Because c=2 r

c= d so the cylindrical side area can also be written: s side = 2 rh or.

S side = DH

Bottom circumference = cylindrical side area The height of the cylinder.

c=s side h

Bottom surface diameter = cylindrical side area Cylindrical height Pi.

d=s side h

Bottom radius = area of the cylindrical side Height of the cylinder Pi 2r=s side h 2

The surface area of the cylinder.

Surface area of the cylinder = bottom perimeter height + bottom area 2

S table = c h+

r r 2 volume of the cylinder.

The volume of the cylinder = the bottom area is high.

V-pillar = S bottom h

Bottom area of the cylinder = volume of the cylinder The height of the cylinder.

S bottom = v h

The height of the cylinder = the volume of the cylinder The area of the bottom surface of the cylinder.

h = v s bottom.

The volume of the cone.

The volume of the cone = the area of the bottom of the cone is high.

v cone = s bottom h3

The base area of the cone = the volume of the cone3 The height of the cone.

S bottom = v 3 h

The height of the cone = the volume of the cone 3 the base area of the cone.

h = v 3 s bottom.

The formula for calculating the circumference of a cylinder is: c= d. If the busbars are parallel to each other, then the resulting rotating surface is called a cylindrical surface.

If two parallel planes are used to cut a cylindrical surface, then the geometry enclosed by the two sections and the cylindrical surface is called a cylinder. If two parallel planes are perpendicular to the axis, then the cylinder is called a straight cylinder (referred to as the Oak Hall Cylinder); If two parallel planes are not perpendicular to the axis, then the cylinder is said to be oblique.

Geometricsolid, also known as stereogeneus, is one of the basic concepts of geometry. The concept of geometry arises from people's mathematical abstraction of various objects in the objective world, when people only consider the shape, size, position relationship and other mathematical properties of the object, and do not consider its physical, chemical, biological, social and other attributes, the concept of geometry is obtained, in geometry, people call a finite shape surrounded by a number of geometric surfaces (planes or surfaces) called geometry, the surface enclosed by geometry is called the interface or surface of geometry, and the intersection line of different boundaries, such as the surface of the geometry, is called the ridge line of geometry, The intersection of different ridges is called the vertex of the geometry, and the geometry can also be regarded as a finite space area divided by several geometric planes in space, and the first thing to study is the geometric properties of some simple geometry, such as polyhedra, rotating bodies and their combinations.

The formula for the perimeter of the cylinder is equal to the formula for the perimeter of the circle at the bottom of the cylinder, i.e., c= d=2 r,C in the formula is the circumference, D is the diameter, R is the radius, and is the pi.

Steps to calculate the perimeter of the bottom surface of the cylinder:

1. Write the formula for the circumference of the circle.

First of all, remember the formula for calculating the circumference of a circle c=2 r.

2. Write the value of pi.

where is pi, there is a fixed value, generally take the masking value =.

3. Calculate the diameter r of the half orange by the diameter

where r is the radius of a circle, because the diameter of a circle d=2r, the diameter is equal to 2 times the radius, so r=d 2, the radius of the circle is calculated.

4. Calculate the circumference of the circle and the group.

From the second step we get the radius r of the circle, according to the formula for the circumference of the circle.

c=2 r=2*, calculate the circumference of the circle.

The formula for cylinder and cone is as follows:

Cylindrical volume: v = base area high or v = 1 2 side area high; Cone volume: v=base area height 3;Cylindrical side area.

S side = bottom circumference height; Cylindrical surface area: S surface = side area + 2 base areas. The letters indicate:

Cylindrical volume: v=sh; Cone volume: v=sh3;Cylindrical side area.

s=ch/2πrh/πdh；Cylindrical surface area: s=ch+2 r

The two round faces above and below the cylinder are called the sides of the cylinder, the bottom surface is flat, and the side is curved. The distance between the two bottom surfaces of a cylinder is called the height of the cylinder, and the height of the cylinder is innumerable, and all the heights of the same cylinder are equal in length. A circular surface under the cone is called the bottom surface, and its surroundings are called the sides, the bottom surface is flat, and the sides are curved surfaces.

The distance between the vertex of the cone and the center of the pid is called the height of the cone, the height of the cone is only one, and the line segment from the vertex to any point on the bottom circle is called the bus bar of the cone.

In the case of equal bottom and contour level, the volume of the cylinder is 3 times that of the cone, the volume of the cone is the volume of the cylinder, and the volume of the cone is less than that of the cylinder and the volume of the cylinder is 2 times more than the volume of the cone. In the case of equal volume and equal height, the bottom area of the cone is 3 times the area of the bottom of the cylinder, and in the case of equal volume and equal floor area, the height of the cone is 3 times the height of the cylinder.

1.Cylinder and cone bottom circumference = 14 Diameter 14 radius Cylinder and cone bottom area = 14 Radius Radius 14 Diameter Diameter 4 = Perimeter Perimeter 14 4Surface area, midsole area, bottom area of cylinder, side area of cylinder = 14 diameter height = perimeter height, surface area = two bottom areas side area = 14 diameter radius height perimeter radius height .

2.Cone: side area = 14 radius busbar, surface area = 14 radius radius busbar.

The circumference of the base circle of the cone: 2 r (r is the radius of the base circle).