Analysis of the geometric shape of an object.

Golovna

Straight circular CYLINDER Beam surface Basics of the cylinder O1O1 About ά β The entire cylinder creates h (height) r (radius) Meaning: a straight circular cylinder is a cylinder that has equal circles as its base, and creates є perpendicular to the bases ά||β

3. The radius of the cylinder is the radius of its base 4. The height of the cylinder - the distance between the planes of the bases in a straight cylinder - is aligned with the solid 5. The entire cylinder is straight, so that it passes through the centers of the bases Vaughn is parallel to those who pretend.

1. The butt surface of the cylinder is a part of the cylindrical surface, placed between parallel planes 2. The base is the part of the planes that meet the cylindrical surface, AD BC Fig. 1 A straight circular cylinder can be cut from the wrappings of a rectangular cylinder on one side."> title="for the baby 1 – cylinder of lifting the wrappers of the straight cutter ABCD on the side AB baby 2 – cylinder of lifting the wrappings of the straight cutter ABCD along the side AD A D B Z Fig. 2"> !}!}

АВВ 1 А 1 - rectangular B А1А1 В1В1 А 2πr2πr h S bіk = 2πrh S surface = S bіk + 2 S base => S surface = 2πrh + 2πr² = 2πr (r + h) Bіchnaya surface of the cylinder h А В r

S surface = 2πrh + 2πr² = 2πr (r + h) Top surface of the cylinder h A B r"> S surface = 2πrh + 2πr² = 2πr (r + h) Top surface of the cylinder h A B r"> S surface = 2πrh + 2πr² = 2πr (r + h) The bottom surface of the cylinder h A B r" title="АВВ 1 A 1 - rectangular B A1A1 B1B1 A 2πr2πr h S bіk = 2πrh S surface = S side 2 S main => S surface = 2πrh + 2πr² = 2πr (r + h) Surface surface of the cylinder h A B r

Give feedback on the power supply 1. Name the elements of the cylinder 2. Name the type of axial cut of the cylinder 3. How can the cross section of the cylinder be: rectilinear square trapezoid?

4. What is certain about this: any cross-section of the cylinder with a plane perpendicular to the base of the stake, equal to the base of the base;

be any cut of the cylinder with the thickness of a cola, so that the ancient cola base;

the plane, perpendicular to the cylinder axis, moves it along the stake, equal to the base of the cylinder; The cylinder span can be colo, rectum, or ellipse. Submit to power 1. Name the elements of the cylinder (top surface, base, whole, radius, what creates, height). 2. Name the type of axial cut of the cylinder 3. How can the cross-section of the cylinder be: - rectangular (like this) - square (like this) - trapezoid? equal to the cola base; the plane, perpendicular to the cylinder axis, moves it along the stake, equal to the base of the cylinder;(incorrect) - any cut of the cylinder with a thickness equal to that of the base; (Wrong) - a plane perpendicular to the cylinder axis moves it along a stake equal to the base of the cylinder;, Therefore, it must be prepared from the same material as the engine frame. If there are more than one cylinder, the engine smells as a single block, looming in the dark underbelly. In this type, the shirts of all cylinders are completely formed and are called a cylinder block. During the hour of engine operation, combustion products enter the cylinder in a gas-like state. These gases expand and their increasing thermal energy collapses the piston, which is inserted in the cylinder. The roc of the piston wraps itself in its dark black

part shaft

The number of wheels of each type depends on the number of cylinders.

The device takes the shape of a cylinder with final bottoms.

The upper bottom of the housing is connected to a cylindrical part with a diameter of 3600 mm, into which vapors of reaction products after cyclones are collected.

The lower bottom of the housing is also transformed into a sounded cylindrical part, where the prepared catalyst is evaporated.

At the lower part of the reactor there is a separate device that looks like a uniformly aligned bundle of channels, through which the mixture of syrup and catalyst flows into the working area of the apparatus.

At the upper part of the reactor, separating devices in the form of cyclones are installed in two stages, designed to collect the catalyst from the reaction products.

To collect the catalyst saw, two lines are placed under the cyclones, with vertical pipes lowered to transfer the saw to the zone of the pseudo-aggregated ball of mixture containing the catalyst.

During the hour of operation of the reactor, the catalyst moves down between the channels of the separate unit and the gap between them and the lower final bottom.

The mixture forms the shape of the cylinders.

It may be the shape of a cylinder or a cut cone with a large base.

The device takes the form of a cylinder with final soundings, at a smaller cross-section of any burr installation., 1910 .

The mixture forms the shape of the cylinders.

1) in geometry: a body that resembles the involucre of a rectum like a k.-n.

from this side;, 1907 .

The mixture forms the shape of the cylinders.

2) the presence of steam engines is necessary, as a very small closed compartment, in which the piston collapses, which causes the entire machine to collapse; the shape of a cylinder is placed between another bucket, a bottle, and so on; 3) a high cap made of suture plush, with narrow hard brims. A new dictionary of foreign words that have emerged from the Russian language. 1) geometrically. the body that comes out of the rectum wrapper on one side. The line that connects the centers

p_dstav ts-a, 1907 .

The mixture forms the shape of the cylinders.

,Naziv.

all the time, 1865 .

the plane, perpendicular to the cylinder axis, moves it along the stake, equal to the base of the cylinder;

(. Peretin, running parallel to the base, gives a colo, perpendicular - rectilinear, or parallelogram, hilo - elipsis;

2) the real part

steam machine , In which the piston collapses, which is driven into rotation by a pair; 3) human cylindrical plush droplet. Dictionary of foreign words in the Russian warehouse. - Pavlenkov F. lat.

Cylindrus., 2009 .

the plane, perpendicular to the cylinder axis, moves it along the stake, equal to the base of the cylinder;

A geometric body that resembles the wrapping of a rectilinear cuticle on one side.

Explanation of 25,000 foreign words that have been adopted into Russian language, with the meanings of their roots. - Mikhelson A.D., 2007 .

gr.

kylindros kylindo I roll, wrap) 1) a geometric body, surrounded by a cylindrical surface (a straight surface made by a straight line that moves parallel to itself, behind a given curve) and two parallel planes; (straight circular c.- Cylinder, creation of rectangular wrappers on one side; 2) a machine part that appears to be closed at one or both ends of a vessel in the shape of a cylinder into which the piston moves, eg c.
1. steam engine, engine
internal turmoil, hydraulic press;
|| 3) a tall, hard human cap with small hard fields, the upper part of which is shaped like a cylinder. New dictionary of foreign words. - by EdwART,
2. cylinder, m. [in Greek] A machine part of this type, in the middle of which the piston moves. C. car engine.
Cylinder- What should be applied to the cylinder?
3. Highly solid man droplets such forms with small solid fields.
|| 3) a tall, hard human cap with small hard fields, the upper part of which is shaped like a cylinder. boater.

Tlumachny dictionary of personal words by L. P. Krisin. - M: Russian language, 1998 .

Synonyms:

Wonder what “CYLINDER” is in other dictionaries:

cylinder- a, m. cylindre m., nim. Zylinder, lat.

cylindrus gr. 1. Geometric body, which creates the involucre of the rectum along one side. Cylinder volume. BAS 1. The thickness of the cylinder is the same as the area of its base, multiplied by its height.

Dahl... Historical Dictionary of Russian Galicisms

Chol., Greek

straight stack, shaft; oblets, hmara;

the body is surrounded by two stakes, and on the sides there is a flat bent along the stakes. oblets, hmara;

The thickness of the cylinder is equal to the area of its base, multiplied by its height, geom. Steam cylinder

, freebie, pipe, in any way... Dahl's Tlumachny Dictionary

Cylindrical surface, drum, shaft;

shapoklyak, droplet, roller, roll, mandrel, cylinder, point, drawer, body, roller Glossary of Russian synonyms.

cylinder noun, keel in synonyms: 22 atactosteles (2) ...

Glossary of synonyms

- (From the Greek kylindros) in elementary geometry there is a geometric body formed by the wrappings of a rectum on one side: the volume of the cylinder V = ?r2h, and the area of the side surface S = 2?rh.

The cylinder has two bases, called stakes, and a side surface, called the cylindrical surface (Fig. 346).

2. Cylinder head.

As soon as the bottom surface of the cylinder is flared and placed flat, the straight cutter is removed (Fig. 347).

The crown of the full surface of the cylinder is made up of a rectangular structure, the length of which is the same as the base of the cylinder, and the height is the height of the cylinder and two stakes (chart. 348).

3. Surface area of the cylinder.

The area of the skin base of the cylinder is ancient π r 2, the area of both bases becomes 2π r 2 (chart. 348).

The area of the barrel surface of the cylinder is the same as that of a rectangular plant, the base of which is ancient 2π r, and the height is the same as the previous height of the cylinder h, i.e. 2π rh.

The full surface of the cylinder becomes: 2π r 2 + 2π rh= 2π r(r+ h).

Right.

1. The radius of the base of the cylinder is 8 cm, its height is 20 cm.

a) a bag of the area of your base,
b) the area of its surface,
c) on the top of the cylinder.

2. The drainage pipe has a diameter of 20 cm, and its depth is 12 m. How many sheets of galvanized gutter will need to be prepared for such a pipe, since the area of the skin sheet is more than 2 square meters.

m, and should you go to work to make 10% of the harvested sales?

3. How many sheets of white steel are needed to coat a cylindrical tank with a lid, since the radius of the base of the tank is 0.40 m, and the height of the tank is 0.75 m?

At the end of the hour, you need to add 5% to the flat surface of the tank.

The area of one arch of white wool is 1.8 square meters. r m. h.

4. Having completed the necessary calculations, calculate the base and surface of the cylinder model, which is in the school’s mathematics office. r 2 h

4. Cylinder volume.

The volume of the cylinder is calculated using the same formula that is used using a straight prism, so that to calculate the volume of the cylinder with the area of its base (π h 2) multiply by height h V cylinder = π h The formula for the volume of a cylinder can be explained in such terms. h Let us give a cylinder and inscribe it into a straight prism, so that in the middle of the cylinder there will be such a straight prism, the bases of which are rich, inscribed into the base of the cylinder (Fig. 349).

Replacing S with π r 2, de r- radius of the cylinder base, we take the formula for the volume of the cylinder: V = π r 2 h.

Note. The formula has V = S h a sign of exact, and not close, jealousy is placed, although on the basis of the conducted marking we could be respected closely, but in the senior classes of high school it is realized that jealousy V = S h more precisely, but not closer.

Right.

1. Calculate the volume of the cylinder, since the diameter of its base is 16 cm, and the height of the cylinder is 25 cm.

2. How many cubic decimeters (liters) of water fit in a tank that is shaped like a cylinder, whose base radius is 30 cm and its height is 0.6 m?

3. The deck has a cylindrical shape.

The diameter of its base is 30 cm. The depth of the deck is 7.2 m. How many cubic meters of wood can this deck hold?

4. The milk tank has a cylindrical shape.

The diameter of the base is 1.2 m. The depth of the tank is 2 m. How many liters of milk can this tank hold?

5. How important is a cylindrical steel shaft, since the radius of its base is 75 mm, and its depth is 1.6 m and its cubic decimeter is 7.8 kg? 6. Calculate the required model of the cylinder, which is available in the school mathematics office. 7. Calculate the amount of money that goes into