CN205281907U - Cylinder and circular cone volume relation demonstration appearance - Google Patents
Cylinder and circular cone volume relation demonstration appearance Download PDFInfo
- Publication number
- CN205281907U CN205281907U CN201620051605.8U CN201620051605U CN205281907U CN 205281907 U CN205281907 U CN 205281907U CN 201620051605 U CN201620051605 U CN 201620051605U CN 205281907 U CN205281907 U CN 205281907U
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- hollow cylinder
- hollow
- cylinder
- pipe connecting
- cone
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- Expired - Fee Related
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Abstract
The utility model discloses a cylinder and circular cone volume relation demonstration appearance, including the combination container and the support of built -in liquid, the combination container includes hollow circular cone, a hollow cylinder, the 2nd hollow cylinder, first connecting pipe, second connecting pipe, and hollow circular cone, a hollow cylinder, the 2nd hollow cylinder loop through first connecting pipe, the second connecting pipe is connected from top to bottom, hollow circular cone, a hollow cylinder, the 2nd hollow cylinder equal highly that the 2nd hollow cylinder's diameter equals hollow circular cone bottom surface diameter, and a hollow cylinder diameter equals hollow circular cone bottom surface diameter and multiply by 3 -12, and it is long -pending that the liquid volume equals hollow cone, is equipped with first solenoid valve and second solenoid valve on first connecting pipe and the second connecting pipe respectively. The utility model discloses can be used to the mathematics lecture experiment how much, be favorable to improving teaching effects, can also replace traditional hourglass and be used for the timing.
Description
Technical field
The utility model relates to a kind of maths demonstration laboratory apparatus, is specially a kind of cylinder and circular cone volume relation demonstration instrument.
Background technology
Following three kinds of relations are met between cylinder and circular cone:
1. when waiting end, contour, the volume of circular cone is 1/3rd of cylindrical volume;
2. waiting in the end, isopyknic situation, the height of cylinder be circular cone high 1/3rd;
3. when equal-volume, contour, the floorage of cylinder is 1/3rd of conical bottom area.
Above-mentioned relation is the student that begins to learn this part knowledge compared with indigestion and grasp, is also a difficult point of elementary mathematics teaching. If method is demonstrated and checking above-mentioned relation by experiment, being conducive to becoming abstract is image, increases student and learns interest and the grasp to relevant knowledge. At present, lacking one can be convenient for carrying and demonstrate, and can verify again cylinder and the circular cone volume relation demonstration instrument of above-mentioned three kinds of relations fast simultaneously.
Summary of the invention
The purpose of this utility model is a kind of cylinder of exploitation and circular cone volume relation demonstration instrument.
In order to solve the problems of the technologies described above, the utility model by the following technical solutions:
A kind of cylinder and circular cone volume relation demonstration instrument, comprise the combination container of built-in liquid and it is fixed on the outer support closing container for protection group of combination container, described combination container comprises hollow cone, first hollow cylinder, 2nd hollow cylinder, first pipe connecting, 2nd pipe connecting, stand upside down upward and be located at the surface of the first hollow cylinder in hollow cone bottom surface, 2nd hollow cylinder is located at the underface of the first hollow cylinder, all have aperture in the middle part of hollow cone top and the first hollow cylinder end face and connected by the first pipe connecting, in the middle part of first hollow cylinder bottom surface, all have aperture in the middle part of 2nd hollow cylinder end face and connected by the 2nd pipe connecting, the height of described hollow cone, the first hollow cylinder, the 2nd hollow cylinder is equal, and the diameter of the 2nd hollow cylinder equals the bottom surface diameter of hollow cone, and the bottom surface diameter that the diameter of the first hollow cylinder equals hollow cone is multiplied by 3-1/2; For convenience of observing, described liquid is colored liquid, and its cumulative volume equals the volume of hollow cone; Described first pipe connecting and the 2nd pipe connecting are respectively equipped with the first magnetic valve and the 2nd magnetic valve that control the first pipe connecting and the 2nd pipe connecting pipeline break-make, support is provided with control the first magnetic valve and the solenoid valve controller of the 2nd magnetic valve, and solenoid valve controller and the first magnetic valve and the 2nd magnetic valve are electrically connected; The surface of described first hollow cylinder, the 2nd hollow cylinder is provided with the scale for reading liquid level position.
Before starting experiment, liquid is all positioned at hollow cone, and the first magnetic valve and the 2nd magnetic valve are in closed state. Press solenoid valve controller switch, open the first magnetic valve and open the first pipe connecting, flow direction first hollow cylinder. When liquid all flows into the first hollow cylinder, just fill the first hollow cylinder. Owing to the diameter of the first hollow cylinder equals the 3 of hollow cone bottom surface diameter-1/2, illustrate that, in equal-volume, contour situation, the floorage of cylinder is 1/3rd of conical bottom area.
Then open the 2nd magnetic valve by solenoid valve controller and open the 2nd pipe connecting, flow direction the 2nd hollow cylinder. When liquid all flows into the 2nd hollow cylinder, liquid level is just positioned at 1/3rd positions of the 2nd hollow cylinder height. Thus illustrate: waiting in the end, contour situation, the volume of circular cone is 1/3rd of cylindrical volume; Waiting in the end, isopyknic situation, the height that cylinder (is made up of the liquid in the 2nd hollow cylinder) be circular cone high 1/3rd.
Owing to adopting above-mentioned design, the utility model had both facilitated teacher to carry, and can verify again the three kinds of volume relationships met between cylinder and circular cone fast, can be used for geometry teaching lecture experiment, was conducive to improving classroom teaching effect. The utility model can also replace tradition hourglass for timing, utilizes liquid to flow into the first hollow cylinder from circular cone different with the time from the first hollow cylinder inflow the 2nd hollow cylinder, forms two period timing function.
Accompanying drawing explanation
Below in conjunction with accompanying drawing, the utility model is described in further detail.
Fig. 1 is formation schematic diagram of the present utility model.
Fig. 2 is checking cylinder and circular cone volume relationship schematic diagram.
In figure: 1. hollow cone, 2. the first hollow cylinder, 3. the 2nd hollow cylinder, 4. the first pipe connecting, 5. the 2nd pipe connecting, 6. liquid, 7. support, 41. first magnetic valves, 45. solenoid valve controllers, 51. the 2nd magnetic valve, 8. scales.
Embodiment
As shown in Figure 1; the utility model comprises the combination container of built-in liquid 6 and is fixed on the outer support 7 closing container for protection group of combination container, and combination container comprises hollow cone 1, first hollow cylinder 2, the 2nd hollow cylinder 3, first pipe connecting 4, the 2nd pipe connecting 5. Stand upside down upward and be located at directly over the first hollow cylinder 2 in hollow cone 1 bottom surface, 2nd hollow cylinder 3 is located at immediately below the first hollow cylinder 2, all have aperture in the middle part of hollow cone 1 top and the first hollow cylinder 2 end face and connected by the first pipe connecting 4, all have aperture in the middle part of the first hollow cylinder 2 bottom surface, in the middle part of the 2nd hollow cylinder 3 end face and connected by the 2nd pipe connecting 5. The height of hollow cone 1, first hollow cylinder 2, the 2nd hollow cylinder 3 is equal, and the diameter of the 2nd hollow cylinder 3 equals the bottom surface diameter of hollow cone 1, and the bottom surface diameter that the diameter of the first hollow cylinder 2 equals hollow cone 1 is multiplied by 3-1/2. Liquid 6 is colored liquid, and its cumulative volume equals the volume of hollow cone 1. First pipe connecting 4 and the 2nd pipe connecting 5 are respectively equipped with the first magnetic valve 41 and the 2nd magnetic valve 51 that control the first pipe connecting 4 and the 2nd pipe connecting 5 pipeline break-make, support 7 is provided with control the first magnetic valve 41 and the solenoid valve controller 45 of the 2nd magnetic valve 51, and solenoid valve controller 45 and the first magnetic valve 41 and the 2nd magnetic valve 51 are electrically connected. The surface of the first hollow cylinder 2, the 2nd hollow cylinder 3 is provided with the scale 8 for reading liquid level position.
As shown in Figure 2, the diameter of the 2nd hollow cylinder 3 is D, highly for h, diameter d=3 of the first hollow cylinder-1/2D=0.577D. Liquid 6 all flows in the 2nd hollow cylinder 3, and now the height of liquid level is y=h/3.
Claims (1)
1. a cylinder and circular cone volume relation demonstration instrument, comprise the combination container of built-in liquid and it is fixed on the outer support closing container for protection group of combination container, it is characterized in that: described combination container comprises hollow cone, first hollow cylinder, 2nd hollow cylinder, first pipe connecting, 2nd pipe connecting, stand upside down upward and be located at the surface of the first hollow cylinder in hollow cone bottom surface, 2nd hollow cylinder is located at the underface of the first hollow cylinder, all have aperture in the middle part of hollow cone top and the first hollow cylinder end face and connected by the first pipe connecting, in the middle part of first hollow cylinder bottom surface, all have aperture in the middle part of 2nd hollow cylinder end face and connected by the 2nd pipe connecting, the height of described hollow cone, the first hollow cylinder, the 2nd hollow cylinder is equal, and the diameter of the 2nd hollow cylinder equals the bottom surface diameter of hollow cone, and the bottom surface diameter that the diameter of the first hollow cylinder equals hollow cone is multiplied by 3-1/2; Described liquid is colored liquid, and its cumulative volume equals the volume of hollow cone; Described first pipe connecting and the 2nd pipe connecting are respectively equipped with the first magnetic valve and the 2nd magnetic valve that control the first pipe connecting and the 2nd pipe connecting pipeline break-make, support is provided with solenoid valve controller, and solenoid valve controller and the first magnetic valve and the 2nd magnetic valve are electrically connected; The surface of described first hollow cylinder, the 2nd hollow cylinder is provided with the scale for reading liquid level position.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201620051605.8U CN205281907U (en) | 2016-01-19 | 2016-01-19 | Cylinder and circular cone volume relation demonstration appearance |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201620051605.8U CN205281907U (en) | 2016-01-19 | 2016-01-19 | Cylinder and circular cone volume relation demonstration appearance |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN205281907U true CN205281907U (en) | 2016-06-01 |
Family
ID=56066461
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201620051605.8U Expired - Fee Related CN205281907U (en) | 2016-01-19 | 2016-01-19 | Cylinder and circular cone volume relation demonstration appearance |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN205281907U (en) |
-
2016
- 2016-01-19 CN CN201620051605.8U patent/CN205281907U/en not_active Expired - Fee Related
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20160601 Termination date: 20170119 |