A cone is a special kind of cylindrical, cylindrical and cone knowledge

Yes, the volume is one-third of that of a cylinder with the same bottom.

The characteristics of the cylinder are: the side is a rectangle or parallelogram, etc. The characteristic of the cone is: the side is a fan.

The characteristics of the cylinder are: the same thickness at the top and bottom, the two bottom surfaces are exactly the same circle, one face is curved, and the side is a rectangle or parallelogram. The characteristics of the cone are: the side is a fan, only the bottom is round, and the top is an isosceles triangle.

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 plane is called a cylinder. If two parallel planes are perpendicular to the axis, then the cylinder is called a straight cylinder (referred to as a cylinder); If two parallel planes are not perpendicular to the axis, then the cylinder is said to be oblique.

Relationship between cylinder and cone:

1. If the bottom is equal to the same volume, the cone height is three times the height of the cylinder, and the height of the cylinder is one-third of the height of the cone.

2. If the bottom is equal to the height, the volume of the cylinder is three times the volume of the cone, and the volume of the cone is one-third of the volume of the cylinder.

3. If the volume is equal to the other, the bottom area of the cone is three times the area of the bottom of the cylinder, and the bottom area of the cylinder is one-third of the area of the bottom of the cone. where the bottom is the base area.

A cylinder is a geometry enclosed by two equal-sized circles parallel to each other and a surface that connects the two bottom faces. When the axis of a cylinder is perpendicular to the bottom surface of the cylinder, the cylinder is said to be a straight cylinder; When the axis of the cylinder is not perpendicular to the bottom surface of the cylinder, the cylinder is called an oblique cylinder.

Cylindrical features: Cylindrical cylinders are divided into straight cylinders and oblique cylinders, and their characteristics are as follows:

1) The two undersides of a straight cylinder are circles of equal radius;

2) The two bottom surfaces of the straight cylinder are connected by the line of the center of the circle and the two bottom surfaces perpendicular to each other;

3) The side view of the straight cylinder is rectangular.

Oblique cylinder: (1) The two bottom surfaces of the oblique cylinder are circles of equal radius;

2) The line of the center of the two bottom surfaces of the oblique cylinder and the two bottom surfaces are not perpendicular;

3) The side view of the oblique cylinder is a parallelogram.

The characteristics of the cone include: the side is a fan, and a cone is obtained by the high rotation of the isosceles triangle around the base edge, and a cone can also be obtained by the rotation of the right triangle around a right angled side, and the cone is axisymmetric.

The specific features are:

1. The side is a fan;

2. Only the bottom is round, so it is a circle from the top;

3. It is an isosceles triangle when viewed horizontally from the side;

4. A cone is obtained by the high rotation of the isosceles triangle around the bottom edge; It is also possible to obtain a cone by rotating a right-angled triangle around a right-angled side;

5. The cone is axisymmetric;

6. The arc length of the conical side fan is equal to the circumference of the bottom circle; The cross-section is circular; The longitudinal section is an isosceles triangle;

7. The length of all bus bars is equal; The length of the busbar is greater than the height of the cone.

1. Characteristics of the cylinder:

1) Characteristics of the bottom surface: The bottom surface of the cylinder is two circles that are completely phased.

2) Characteristics of the side: The side of the cylinder is a curved surface.

3) Characteristics of height: Cylinders have an infinite number of strips high.

2. The height of the cylinder:

The distance between the two bottom surfaces is called the height.

3. Side view of the cylinder:

When along the height, the diagram is rectangular; When the bottom circumference and height are equal, the map is square along the elevation; When not along height, the diagram is a parallelogram.

4. The side area of the cylinder:

The side area of the cylinder = the perimeter height of the bottom surface, which is represented by letters as: S side = CH.

5. The surface area of the circle:

The surface area of the cylinder = side area + 2 base area. That is, S table = S side + 2S bottom.

6. The volume of the cylinder:

The size of the space occupied by the cylinder is called the volume of the cylinder. v=sh

7. Cone: The rotating body surrounded by the surface formed by the rotation of one right-angled side of a right-angled triangle is the axis of rotation, and the surface formed by the rotation of the other two sides is called a cone. The right-angled side is called the axis of the cone.

8. The height of the cone:

The distance from the vertex of the cone to the center of the base is the height of the cone.

9. Characteristics of the cone:

1) The characteristics of the bottom surface: the bottom surface of the cone is a circle.

2) Characteristics of the side: The side of the cone is a curved surface.

3) High characteristics: The cone has a high strip.

10. The bus bar of the cone:

The radius of the fan formed by the sides of the cone, the distance from the point on the circumference of the base surface to the vertex. The cone has an infinite number of busbars.

11. The side of the cone:

The side of the cone is along the busbar, is a fan, the arc length of this fan is equal to the circumference of the bottom surface of the cone, and the radius of the fan is equal to the length of the bus bar of the cone.

12. The side area of the cone = the circumference of the bottom surface (the length of the arc of the figure) busbar.

13. The volume of the cone:

The size of the space occupied by a cone is called the volume of the cone. The volume of a cone is equal to the volume of a cylinder of equal height to its base 1 3.

According to the cylindrical volume formula v=sh (v=rrh), the conic volume formula is obtained: v=1 3sh

14. The relationship between the cylinder and the cone:

1) The volume of a cone, which is equal to the bottom of the cylinder, is one-third of the volume of the cylinder.

2) Between a cone of equal volume and height and a cylinder (equal bottom and equal height), the base area of the cone is three times that of the cylinder.

3) Between a cone with equal volume and base area and a cylinder (contour and contour), the height of the cone is three times that of the cylinder.

Features of the cylinder:

1. The top and bottom are the same thickness.

2. The two bottom surfaces are exactly the same circle.

3. One of the faces is curved.

4. There are countless heights.

5. The side is a rectangle or parallelogram.

Features of the cone:

1. The side is a fan;

2. Only the bottom is round. So it is a circle when viewed from above;

3. It is an isosceles triangle when viewed horizontally from the side;

4. A cone is obtained by the high rotation of the isosceles triangle around the bottom edge; It is also possible to obtain a cone by rotating a right-angled triangle around a right-angled side;

5. The cone is axisymmetric;

6. The arc length of the conical side fan is equal to the circumference of the bottom circle; The cross-section is circular; The longitudinal section is an isosceles triangle;

7. The length of all bus bars is equal; The length of the busbar is greater than the height of the cone.

1. The top and bottom are the same thickness. 1. The side is a fan; 2. The two bottom surfaces are exactly the same circle.

2. Only the bottom is round. So it is a circle when viewed from above; 3. One of the faces is curved. 3. It is an isosceles triangle when viewed horizontally from the side; 4. There are countless heights.

4. A cone is obtained by the high rotation of the isosceles triangle around the bottom edge; It is also possible to obtain a cone by rotating a right-angled triangle around a right-angled side; 5. The side is a rectangle or parallelogram. 5. The cone is axisymmetric;

Cylinder: There are three sides, the side is a rectangle, the upper and lower bottom faces are the same circle, a circle from the top and a rectangle from the front.

Cone: There are two faces, a fan on the side and a circle on the base, a circle when viewed from above, and an isosceles triangle when viewed from the front.

Cylinder: The sides are a rectangle.

The upper and lower undersides are the same circle.

So it is a circle when viewed from above;

It is a rectangle when viewed horizontally from the side.

It can be obtained by rotating a rectangle around one side.

is axisymmetric.

The length of one side of the rectangle on the side is equal to the perimeter of the base.

All busbars are equal in length and equal to the height of the cylinder.

The longitudinal section is a rectangle.

The cross-section is circular.

The oblique section is elliptical.

Cone: The sides are a fan.

Only the bottom is round.

So it is a circle when viewed from above;

It is an isosceles triangle when viewed horizontally from the side.

It can be obtained by the high rotation of the isosceles triangle around the base edge.

It can also be obtained by rotating a right-angled triangle around a right-angled side.

is axisymmetric.

The arc length of the side sector is equal to the circumference of the base circle.

The cross-section is circular;

The longitudinal section is an isosceles triangle;

All busbars are equal in length.

The length of the busbar is greater than the height of the cone.

To put it succinctly a cylinder: there are three faces, the sides are a rectangle, the upper and lower bottom faces are the same circle, a circle from above and a rectangle from the front.

Cone: There are two faces, a sector on the side and a circle on the bottom, a circle when viewed from above, and an isosceles triangle when viewed from the front.

Hope satisfied hehe.

Cylinders and cones have something in common: the bottom surface is round.

Differences between cylinder and cone: The side view of the cylinder is rectangular (or square) and the regular section is also rectangular (or square), and the upper and lower bottom surfaces are equal.

The side view of the cone is fan-shaped, the front section is also triangular, and the upper and lower surfaces of the cylinder are condensed into a point.

The top of the cylinder is round, while the top of the cone is pointed.

The cylinder has two faces that are circles of the same size, and one of the faces that is curved...

The rotation body enclosed by the straight line where one side of the rectangle is located as the axis of rotation, and the surface formed by the rotation of the other three sides is called a circular cylinder, that is, one side of the ag rectangle is the axis, and the geometry obtained by rotating 360° is a cylinder. where AG is called the axis of the cylinder, the length of AG is called the height of the cylinder, and all the line segments parallel to AG are called the busbar, da and d of the cylinder'The two circles formed by the rotation of g are called the base surface of the cylinder, dd'The surface formed by rotation is called the side of the cylinder. 2. There is a fixed line and a moving line in the same plane, when this plane rotates around this fixed line, the surface formed by this moving line is called the rotating surface, the fixed line is called the axis of the rotating surface, and the moving line is called the bus bar of the rotating surface.

If the bus is a straight line parallel to the axis, then the resulting rotating surface is called a cylindrical surface. If the cylindrical surface is truncated by two planes perpendicular to the axis, then the geometry enclosed by the two sections and the cylindrical surface is called a straight cylinder, referred to as a cylinder.

The first one above is definitely plagiarized on the encyclopedia where the landlord canceled his "recommendation".

Me: 1. Cylinder: A rectangle is rotated around one of its sides to form a circle.

2. The upper and lower sides of the cylinder are called the bottom surface, and they are two circles with equal area. 3. The distance between the two bottom surfaces of the cylinder is called high. The surrounding faces are called the sides, and the sides of the cylinder are curved surfaces.

4. The side of the cylinder is rectangle, the length of the rectangle is equal to the circumference of the bottom surface of the cylinder, and the width is equal to the height of the cylinder. 5. Calculation formula: the side area of the cylinder = the perimeter of the bottom surface is high, the surface area of the cylinder = the side area of the cylinder + the area of the two bottom surfaces.

1. Cone: The figure formed by rotating a right-angled triangle around one of its right-angled sides is a cone. 2. The cone has only one bottom surface, and the bottom surface is a circle.

The side of the cone is a curved surface. 3. The distance from the apex of the cone to the center of the bottom is the height of the cone. 4. Put the side of the cone to get a fan 5. Calculation formula:

The volume of the cone is equal to one-third of the volume of a cylinder of the same height as its base.

Cylindrical FeaturesCylindrical FeaturesCylindrical FeaturesCylindrical Features: A cylinder is made up of two bottom surfaces and one side. The two undersides of a cylinder are two circles that are exactly the same.

The distance between the two bottom faces is the height of a cylinder, which has an infinite number of strips of height, and the heights are all equal in length. The side of the cylinder is a curved surface. The side area of the cylinder = the circumference of the bottom surface x the height The surface area of the cylinder = the side area + the bottom area x 2 The volume of the cylinder = the base area x the height If v is used to represent the volume of the cylinder, s is the base area of the cylinder, and h is the height of the cylinder, the volume formula of the cylinder can be written as:

v=sh The volume is 3 times that of a conical conical with a constant bottom Cone Characteristics Cone Characteristics Cone Characteristics Cone CharacteristicsCone Characteristics: The volume of a cone is equal to the volume of a cylinder of equal height with its bottom 1 3 The side area of the cone is not curved, it is a fan The cone has a base, a vertex, and only one high! Surface area of the cone = 1 2 Busbar Bottom circumference Base area Cone volume formula:

v 1 3sh s is the base area, h is the height, and r is the bottom radius.

I ** know, it's in math books, it's also in encyclopedias.

The cylinder is made up of two circles and a rectangle; The cone is made up of a sector and a circle. The bottom circle is equal to the cylinder and the cone, and the cone is one-third of the volume of the cylinder.

Same: they are flanked by a curved surface.

Different: The cone has a rounded base. The cylinder has two bases, two circles.

Individual features: cylindrical.

1. The top and bottom are the same thickness.

2. The two bottom surfaces are exactly the same circle.

3. One of the faces is curved.

4. There are countless heights.

5. The side is a rectangle or parallelogram.

Cone 1, side is a fan;

2. Only the bottom is round. So it is a circle when viewed from above;

3. It is an isosceles triangle when viewed horizontally from the side;

4. A cone is obtained by the high rotation of the isosceles triangle around the bottom edge; It is also possible to obtain a cone by rotating a right-angled triangle around a right-angled side;

5. The cone is axisymmetric;

6. The arc length of the conical side fan is equal to the circumference of the bottom circle; The cross-section is circular; The longitudinal section is an isosceles triangle;

7. The length of all bus bars is equal; The length of the busbar is greater than the height of the cone.