CYLINDRICAL, cylindrical, cylindrical. Having the shape of a cylinder (see cylinder in 1 value). Cylindrical surface. Cylindrical vessel. Cylindrical boiler. Explanatory Dictionary of Ushakov. D.N. Ushakov. 1935 1940 ... Explanatory Dictionary of Ushakov
cylindrical- oh, oh. cylindrique adj. 1. Rel. to the cylinder. Cylindrical surface. Cylindrical vessel. Ush. 1940. Cylindrical pod, very long. Severgin 1794 2 417. 2. spec. A cylinder having its working part; equipped with... ... Historical Dictionary of Gallicisms of the Russian Language
cylindrical- oh, oh. 1. to Cylinder (1 digit). Ts form. Ts surface (Math.; the surface formed by the translational movement of a straight line along a given curved line). 2. Having the shape of a cylinder (1 character). Ts oven. C. vessel ... encyclopedic Dictionary
cylindrical- oh, oh. 1) Cylinder 1) T-shape. Ts surface (mathematics; surface formed by the translational movement of a straight line along a given curved line) 2) having the shape of a cylinder 1) Ts furnace. Cylindrical / cal vessel ... Dictionary of many expressions
Essential oils*
Essential oils- Under the general name of E. oils, they collect a large number of substances that, in essence, have in common only that they are all formed in plants and have a smell, and even then this last quality must be accepted with reservation. Some E. oils do not ... ... Encyclopedic Dictionary F.A. Brockhaus and I.A. Efron
Calorimetry- (physical and chemical). K. name. a collection of methods for the quantitative determination of heat released or absorbed in various physical or chemical phenomena. In the beginning, calorimetric research was almost exclusively concerned with the determination of... Encyclopedic Dictionary F.A. Brockhaus and I.A. Efron
rain gauge- (ombro or pluviometer) a device used to measure the amount of water (in the form of rain, snow, etc.) falling out of the atmosphere over a certain period of time. This is usually a cylindrical vessel A made of zinc tin (Fig. 1), in the upper ... ... Encyclopedic Dictionary F.A. Brockhaus and I.A. Efron
Gas production- Luminous gas (le gaz d eclairage, gaz light, Leuchtgas) a mixture of gases burning with a luminous flame, containing marsh gas CH4 and other hydrocarbon gases and vapors; obtained by dry distillation (see this word), that is, by incandescence in retorts, without ... ... Encyclopedic Dictionary F.A. Brockhaus and I.A. Efron
Tar- (French goudron, German Theer oder Teer. English tar) is liquid (at ordinary temperature), insoluble in water, more or less dark brown, even sometimes black, mixed solution of resinous substances in volatile hydrocarbons and other. carbon … Encyclopedic Dictionary F.A. Brockhaus and I.A. Efron
CATATHERMOMETRY- CATATHERMOMETRY, catathermometers. Catathermometry aims to determine the magnitude of the cooling capacity of air at t° of the human body in order to find gigabytes. norms of pleasant thermal well-being of a person in the air. Under the cooling ... ... Big Medical Encyclopedia
In the USE assignments in mathematics, there are tasks in which we are talking about immersing a part in a liquid or pouring a liquid from one vessel into another.
Questions in the condition are related to finding the volume of a body immersed in a liquid or finding some parameter of the vessel. The shape of the vessel can be different: cylinder, prism.
What needs to be understood?
If a liquid is poured into a cylindrical vessel, then it takes the form of a cylinder. If it is poured into a prism-shaped one, it accordingly takes the form of a prism. This means that the formulas for the volumes of a cylinder and a prism also work for the volumes of liquids placed in such vessels.
Volume formula (cylinder and prism):
If the liquid is poured into a similar vessel with a smaller base, the level (height) of the liquid increases; if in a vessel with a large base, then the level of the liquid decreases.
In tasks for immersing a part in a liquid, you should find the volume obtained after immersing it, then find the difference in volumes before and after (if the data in the condition allows it). You can solve such problems in another way, using the law of Archimedes. Examples are discussed below.
In tasks where we are talking about pouring a liquid into another vessel (with a reduced or increased base area), remember that the volume of the liquid itself remains unchanged. You can express it in terms of the base area and height (S 1 and H 1) of one vessel and the base area and height (S 2 and H 2) of another vessel, then equate the resulting expressions.
With further transformations, get the ratio of the corresponding quantities - either the areas of the bases, their edges, or the heights. An example of such a task is discussed below in the article.
5000 cm 3 of water were poured into a cylindrical vessel. The liquid level turned out to be 40 cm. The part was completely immersed in water. At the same time, the liquid level in the vessel rose by 15 cm. What is the volume of the part? Express your answer in cm3.
We know that the volume of a cylinder is equal to the product of the area of the base and the height:
Height is the level of the liquid.
So, from the available data, we can find the area of \u200b\u200bthe base:
The base of the cylinder is unchanged, but the height of the liquid has changed (when the part is immersed) by 15 centimeters, that is, it has become
40 +15 = 55 cm.
Let's find the resulting volume:
6875 - 5000 \u003d 1875 cm 3
It is possible to solve such problems in a more rational way.
According to the law of Archimedes, the volume of a part is equal to the volume of the liquid displaced by it. The volume of the displaced fluid is 15/45 of the original volume:
Answer: 1875
Decide on your own:
2500 cm 3 of water was poured into a vessel having the shape of a regular triangular prism and the part was completely immersed in it. At the same time, the liquid level in the vessel rose from 20 cm to 24 cm. What is the volume of the part? Express your answer in cm3.
The solution principle is the same as in the previous problem.
We know that the volume of a prism is equal to the base area multiplied by the height:
Immerse the part in the liquid. Her level is rising. In order to calculate the volume of a part, it is necessary to subtract the volume of liquid that was originally from the obtained volume (obtained after immersing the part).
From the available data, we can find the area of the base of the prism:
The base of the prism has not changed, but the height of the liquid has changed (when the part is immersed), it has become 24cm.
Let's find the resulting volume:
Now we can calculate the volume of the part: 3000 - 2500 \u003d 500 cm 3
Second way:
According to the law of Archimedes, the volume of a part is equal to the volume of the liquid displaced by it. The volume of the displaced fluid is 4/20 of the original volume:
Answer: 500
Decide on your own:
Water is poured into a vessel shaped like a regular triangular prism. The water level reaches 250 cm. At what height will the water level be if it is poured into another similar vessel, whose base side is 5 times larger than the first? Express your answer in cm.
In such problems with liquid transfusions, it should be remembered that its volume remains the same (it is not changed - no matter where it is poured).
The volume of liquid in this case is the volume of a regular triangular prism (its base is a regular triangle). It is equal to the product of the area of the base of the prism by the height:
The essence of further actions boils down to the fact that we can express the volumes of liquids in two prisms: the first and second (the base of which is 4 times larger), and then equate the resulting expressions, as a result, after the transformations, we get the ratio of two heights.
Naturally, the height of the liquid will decrease if the base area is increased.
Let us denote the initial height of the liquid H 1 obtained after the transfusion H 2 .
Find the area of the base of the prism, denoting its side as a. The area of a regular triangle is:
Thus, the volume of liquid poured into the first prism is equal to:
The base area of the second prism is:
The volume of liquid poured into the second prism is:
Let's find the ratio of heights:
Thus, with the same volume of liquid, its height will decrease by 25 times and will be equal to 10.
Or you can say this:
The volume of a cylinder is equal to the product of the area of its base and its height:
The liquid in the vessel has a cylindrical volumetric shape.
The liquid level has risen by 1.1 times, which means that the height of the cylinder has increased by 1.1 times. Based on the formula for the volume of a cylinder, it is clear that with an increase in height by 1.1 times, the volume also increases by 1.1 times (since the dependence of the values \u200b\u200bis directly proportional).
This means that after the part is immersed, the volume will be 14∙1.1 = 15.4 liters.
Thus, the volume of the part will be equal to: 15.4 - 14 = 1.4 liters.
Answer: 1.4
Decide on your own:
If you didn’t immediately see the course of the solution, raise the question - what can be found based on the condition?
For example, given the initial volume and height of the liquid (in a prism or cylinder), we can find the area of the base. Then, knowing the base area and the height of the liquid after the part is immersed, we can find the resulting volume.
- A jar is a vessel, as a rule, cylindrical in shape with a wide opening at the top, unlike a bottle, with a fairly short and wide neck or no neck at all.
- glass vessel
- A glass or metal vessel of a cylindrical shape; the amount of something that can be contained in such a vessel
- Preservation vessel
- Shoal, vessel and bench in the boat
- Glass, metal vessel
- Cylindrical vessel
- Vessel with a wide mouth under the lid
- Vessel
- Therapeutic and procedural glass containers
- Tin, canning, glass
- Bidon (fr. and ox. Bidon) is a commune in France, located in the Rhone-Alpes region. Department of the commune - Ardèche.
- large vessel
- Milk vessel
- Metal vessel for milk
- Vessel with lid
- Cylindrical metal or plastic vessel with a lid
- A vessel into which milk is poured
- Cylindrical jar with lid and carrying handle
- Cylindrical tin vessel with lid
- Turk (also cezva: Tur. Cezve from Arabic جذوة) - dishes in the form of a ladle for making coffee in Turkish (oriental).
- Another name for a Turk is a vessel for making Turkish coffee.
- Long-handled cone-shaped metal vessel for making Turkish coffee
- A night light is a small decorative lamp used to illuminate dark rooms or rooms that become dark from time to time (such as at night).
- Metal case of a cylindrical shape on a belt with three holes for air draft and a door; served to save the fire, from which the cannon wick was lit
- Epichisis (lat. Epychisis) is an antique cylindrical vessel, often with two horizontal welt profiles, a thin neck ending in a bent spout with an open drain, and a high curved handle.
- ancient vessel
- Antique cylindrical vessel, often with two horizontal welt profiles, a thin neck ending in a bent spout with an open drain, and a high curved handle
- A rivet is a type of fastener, a detail of a riveted joint in the form of a round rod or pipe, on one side having a embed head and a closing (unsetting) head formed during the riveting process.
- Fastener in the form of a cylindrical metal rod, usually with a head at one end
- Metal rod for fastening parts
- A metal rod that is riveted or used to rivet something
- A nail-shaped metal fastener with a hat, with which the blade of a throwing weapon is attached to the shank of a bladed throwing weapon
- Metal product for connecting parts
cylindrical vessel
Alternative descriptionsA bench in a public building occupied by certain persons in accordance with etiquette.
Elevated area of the seabed; underwater shoal.
Seat for rowers in the form of a transverse board in a boat (in the speech of sailors, fishermen)
A glass or metal vessel of a cylindrical shape; the amount of something that fits in such a container.
Food storage container
Tin, canning, glass
Island of Indonesia and the Philippines
underwater shallow
Suitable packaging for canned food
Flat island, part of the Greater Sunda Islands, off the east coast of Sumatra, Indonesian territory
Vessel with a wide mouth under the lid
Glass, metal vessel
Container for blanks for the winter
Shallow area of the seabed in the middle of a deeper water area
Part of the seabed over which the depth is significantly less than the surrounding depths; sometimes banks are fishing areas
Part of the seabed where the depth is significantly less than the surrounding depths
Tin can stuffed with sprats
Canning containers
Container for jam
Cup on the back
A medical device that bruises the patient for medicinal purposes
Three-liter...
Seat in the boat
Malay Island
Pickle container
It has canned food
Container for jam
With pickles
Container for paint
canning container
Canning...
Container for canned food and juices
Glass storage of cucumbers and tomatoes
Shoal, vessel and bench in the boat
Boat bench or jam container
Three liter capacity
Island in Asia
glass vessel
Preservation vessel
Container for canned food
Place of detention of cucumbers
Cylindrical vessel
underwater shallow
Glass or tin packaging, vessel
Island in Asia
Seat for rowers in a boat
Part of the sea floor that rises above the surrounding depths
Elevated area of the seabed; underwater shallow
A bench in a public building occupied by certain persons in accordance with etiquette
A glass or metal vessel of a cylindrical shape; the amount of something that can be contained in such a vessel
G. a glass or pottery vessel in a column, with a wide neck (in this meaning, a jar from a bath: round, globular). Chinese style tea box, one or a few pounds. A small, round tub in which fishermen carry live fish (here the concepts of roundness and bathing are combined). A horn, horns, a projectile for letting out subcutaneous, goiter, jar blood. Dry jars, placing goblets in suction (like pots, warming from the inside with burning tow), which causes blisters to form on the body, as from a fly or with wet calluses; blood banks, setting them up, but along the notch of the skin, for drawing blood. Put jars, throw goat blood
sea shoal
German. or Dutch. a bench on a rowing vessel, a bench for rowers. The space between two guns along the side of a warship, reserved for housing a certain number of sailors. Bank, or banks m., an underwater shallow that interferes with navigation on ships; shoals, in the language of the sea and our marine industrialists, have many names, according to the difference in their properties. On the Caspian Sea, others call the channel, the core, the course, the gate, the fairway a bank; and stranded in the middle, etc.; but there are also shallows in the Caspian: Clean cans, Tyuleniy cans, etc. Can, to the bank, in all meanings, related; tea, the highest grades, sold in cans, not by weight. Banking related to banks in the sea. value Bank tin, the purest, in ingots, for eyeliner mirrors, etc., comes from the Sunda Islands, through Holland (see also bank)
Therapeutic and procedural glass containers
