Cylinder cubic capacity calculator. Calculator for calculating the volume of liquid in a rectangular container

Before you begin to calculate any quantities, you need to decide on the terminology. What is a cylinder? This geometric body consists of a lateral cylindrical surface and 2 base areas. The first is formed by many segments parallel to each other, forming a cylinder. They connect the upper and lower circles - the bases of the figure. In this case we're talking about about a circular cylinder, which can be either inclined or straight. In addition, there are other cylindrical surfaces of the 2nd order - elliptic, hyperbolic and parabolic cylinders.

Cylinder - mathematical calculation of volume

In the case when the generators of a volumetric figure are equal and perpendicular to the bases, we have a straight circular cylinder. If the angle between the generatrices and the planes in which the circles are located is different from 90°, the cylinder is inclined.

Straight circular cylinder

This body is a three-dimensional geometric figure obtained by rotating a rectangle around one of its sides. The latter acts as an axis. Let us determine the volume of this geometric body.

• V – final desired value (volume),
• S – area of ​​the figure’s base,
• H – height of the figure.

In the case of a circular cylinder, its bases are circles, which means that it is necessary to calculate the area of ​​the circle. To do this, we use the formula S=πr 2, where π is a constant value whose value is ≈3.14, and r is the radius of the circle lying at the base of the figure. Based on the ratio r=d/2, where d is the diameter of the base circle, the area of ​​the base can be calculated using the formula S=πd 2 /4.

In view of the above, determining the volume of a cylinder requires determining such parameters as the height and radius (or diameter) of the base. If the cylinder is straight, then the length of its guide is equal to its height.

Inclined circular cylinder

For a given volumetric figure, the relation for finding the volume is still valid, with the only difference being that its height is not equal to the guide. How to determine the height of a figure if the value of the generatrix is ​​available? From the center of the upper base, lower the perpendicular (aka height) to the lower plane (in which the second base of the cylinder is located). As a result, a right triangle(its sides are the height of the cylinder, the radius of its base, the guide). Let's use the definition of one of trigonometric functions. sin⁡α=h/l, i.e. h=sin⁡α*l.

• h – desired height,
• l – guide length,
• α is the angle between the guide and the base plane.

This kind of calculation is relevant when solving mathematical problems based on available data.

Cylinder – practical volume measurements

The following technique will help if you are faced with the task of determining the volume of a cylinder using a handy measuring tool - a ruler. With its help, you can easily determine the height of a geometric body, but what about the radius of the circle?

A rectangle can be inscribed in any circle, and its hypotenuse will be the diameter of the original circle. Let's use this ratio. Take a rectangular piece of paper and place the vertex A of its angle (90°) on the arc of the circle. Mark on the sheet the points where the sides of the rectangle (coming from vertex A) intersect with the circle. Connect these dots on a piece of paper. The length of the resulting segment will be equal to the diameter of the base circle. Returning to the formula V=S*h=hπd 2 /4, find the required value.

The working volume of the cylinder is the volume located between the extreme positions of the piston movement.

The formula for calculating a cylinder has been known since school curriculum– volume is equal to the product of the area of ​​the base and the height. And in order to calculate the engine volume of a car or motorcycle, you also need to use these multipliers. The working volume of any engine cylinder is calculated as follows:

h - piston stroke length mm in the cylinder from TDC to BDC (Top and Bottom Dead Centers)

r - piston radius mm

n - 3.14 is not a nominal number.

How to find out engine size

To calculate the engine displacement, you will need to calculate the volume of one cylinder and then multiply by the number of cylinders in the internal combustion engine. And this is what happens:

Veng = Pi multiplied by the square of the radius (piston diameter) multiplied by the stroke height and multiplied by the number of cylinders.

Since, as a rule, piston parameters are indicated everywhere in millimeters, and engine volume is measured in cm3, then to convert the units of measurement, the result will have to be divided by another 1000.

Note that the full volume and the working volume are different, since the piston has bulges and recesses for the valves and also includes the volume of the combustion chamber. Therefore, you should not confuse these two concepts. And to calculate the real (total) volume of the cylinder, you need to sum up the volume of the chamber and the working volume.

You can determine the engine volume using a regular calculator, knowing the parameters of the cylinder and piston, but calculating the working volume in cm³ with ours online will be much easier and faster, especially if you need calculations in order to find out the engine power, since these indicators directly depend on each other from a friend.

The volume of an internal combustion engine can very often also be called displacement, since it is measured in cubic centimeters (more exact value), and liters (rounded), 1000 cm³ equals 1 liter.

Calculation of internal combustion engine volume with a calculator

To calculate the volume of the engine you are interested in, you need to enter 3 numbers in the appropriate fields - the result will appear automatically. All three values ​​can be found in the car’s passport data or technical data. characteristics of a particular part, or a caliper will help determine what piston volume.

Thus, if, for example, you find that the volume is 1598 cm³, then in liters it will be designated as 1.6 liters, and if the number is 2429 cm³, then 2.4 liters.

Long-stroke and short-stroke piston

Also note that with the same number of cylinders and displacement, engines can have different cylinder diameters, the piston stroke and power of such engines will also be different. An engine with short-stroke pistons is very power hungry and has low efficiency, but achieves great power at high speeds. And long-stroke ones are located where traction and efficiency are needed.

Therefore, the question “how to find out engine size by horsepower” can be given a firm answer - no way. After all, although horsepower has a connection with engine volume, it will not be possible to calculate it from them, since the formula for their relationship also includes many different indicators. So determine cubic centimeters engine can only be determined by piston parameters.

Why do you need to check engine size?

Most often, they find out the engine size when they want to increase the compression ratio, that is, if they want to bore the cylinders for tuning purposes. Because the higher the compression ratio, the greater the pressure on the piston during combustion of the mixture, and therefore the engine will be more powerful. The technology of increasing the volume in order to increase the compression ratio is very beneficial - after all, the portion of the fuel mixture is the same, and useful work more. But everything has its limit and its excessive increase threatens self-ignition, as a result of which detonation occurs, which not only reduces power, but also threatens to destroy the engine.

Measure all required distances in meters. The volume of many three-dimensional figures can be easily calculated using the appropriate formulas. However, all values ​​​​substituted into formulas must be measured in meters. Therefore, before plugging values ​​into the formula, make sure that they are all measured in meters, or that you have converted other units of measurement to meters.

• 1 mm = 0.001 m
• 1 cm = 0.01 m
• 1 km = 1000 m

There won't be any problems. You just need to multiply the length, width and height, measured in meters, by each other. For example, length – 3 meters, height – 1 meter, width – 15 meters. Example - multiply 1 by 15 and 3. The product of quantities is 45 cubic meters (or).

Carry out the following calculations when determining the volume. It is known that for each substance there is its own specific gravity, which corresponds to the weight of one cubic decimeter or one (for liquids). So water has a specific gravity of 1.0 kg/dm3. This means that 1000 will make one cubic meter. Thus, to determine the number of cubic meters based on the available weight, you need to know the specific gravity of this substance.

You can measure cubic volume using another in a simple way. To do this, immerse the object whose volume you need to find out in water. The volume of displaced water will be equal to the volume of the object. Since the specific gravity of water, discussed above, is 1.0 kg/dm3, then you can calculate the volume enough.

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Please note

When converting one value to another, it is worth paying attention first of all to the density of the substance, since its specific gravity can be used in calculations. Among other things, it is not necessary to use measuring instruments for taking measurements. Standard means at hand can also be used. For example, a thing whose length you know for sure. If you come across the concept “linear meter”, it means regular meter, defined in length.

Useful advice

Please note that it is not always easy to calculate cubic volume. Sometimes it is not enough to know only linear (or linear) dimensions. To determine the cubic volume of a homogeneous substance without gaps, measurements may be sufficient. And to determine the volume of heterogeneous objects, between which, due to their condition or nature, there may be gaps (firewood, metal objects, parts, etc.), it is worth resorting to more complex calculations: through the specific gravity or density of the substance, as well as its weight .

Sources:

• cubic meters calculator

Meter V cube, cubic meter or - a standard unit of volume. These units are used to calculate the volume of premises, as well as the consumption of water and gas. They often indicate the quantity of certain building materials, for example, boards. Other non-systemic units of volume measurement - liters, cubic decimeters and centimeters - are also converted to cubic ones.

You will need

• - calculator;
• - table of density of substances;
• - computer.

Instructions

To calculate the number of cubic meters, if the volume is known but given in submultiples, multiples or non-system units, then multiply it by the desired coefficient. For example, to calculate the number of meters in cube for cubic decimeters (liters), multiply their number by 0.001. To convert to cubic centimeters and cubic millimeters, multiply their quantity by 0.000001 and 0.000000001, respectively.

Example: calculate how many cubic meters of water are in one bucket. Solution: the volume of an ordinary bucket is 10 liters. Multiply this number by one thousandth: 10 * 0.001 = 0.01 m?. Answer: the volume of water in the bucket is 0.01 cubic meters.

If the body mass is given, then to calculate the number of meters in cube, multiply it by the density. First convert the mass to , and the density to kg/m?. The density of a substance can be easily found on the Internet or in relevant reference books. If it is unknown or the body consists of () several substances in the unknown, then measure the density yourself. If the problem involves low-concentrated ones, then their density can be taken equal to the density of water - 1000 (ton) per meter in cube.

It is often possible to calculate the number of cubic meters based on the shape and size of the body (container, room). For example, if a body looks like a rectangular parallelepiped, then its volume is equal to the product of length, width and height (height may mean thickness or ).

If the base of the body has complex shape and constant height (prisms and cylinders), then multiply the area of ​​the base of the body by its height. So, for example, for a round cylinder, the area of ​​the base is equal to ?r?, where r is the radius of the circle located at the base of the cylinder.

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It is impossible to build a house or erect another structure without having a project that takes into account everything, including the consumption of materials, and in particular, the required volume of concrete.

You will need

• - initial data;
• - calculator.

Instructions

Before you begin calculating the required volume concrete, determine the type of foundation (it can be columnar, slab or strip), as well as its configuration. The choice of foundation type and its configuration is determined by bearing capacity soil on which the construction of the facility is planned.

To calculate a slab foundation, you need to know the thickness of the slab and the surface area, as well as the presence of such additions as stiffeners, and, of course, their sizes. The minimum thickness of the tile foundation is 10 centimeters. Let’s assume that the area of ​​the building being built is 36 m2 (6x6), which means that for pouring a slab foundation with minimum thickness you will need 36 m2 x 0.1 m = 3.6 m3.

In the world, quite a lot of objects have a cylindrical shape, the volume of which periodically has to be calculated. This can be a culinary task, or it can be useful in construction. In this case, the scope of use is not so important, but the calculation method is important. In mathematics, which describes various objects and phenomena of our life, theorems and formulas are such means.

Algorithm for determining the volume of a cylinder

Let's return to the method of calculating the volume of a cylinder if its height and radius are known. To begin, you will need to answer a number of simple questions. First you need to determine which cylinder is in front of you.

Often considered classic ideal option, when a cylinder is obtained by rotating a rectangle around one of its sides, and then the bases are circles, the radii of which are equal to each other, and the height is the generatrix. Such a cylinder is called a straight round cylinder.

The second task in determining the volume of a cylinder is finding the height. Using the rule will be as easy as shelling pears. It is enough just to connect the centers of the circles with each other.

How to calculate the volume of a round straight cylinder

The volume of a round straight cylinder is the product of the area of ​​the circle at the base of the cylinder times the height and is expressed by the following formula:

V = P*R 2 *H, where:

• V is the volume of the cylinder;
• Π = 3.14 and is a constant value;
• R - radius;
• H - height.

Solution: V = 3.14*6*2*2=75.36 cm3.

How to calculate the volume of a truncated circular cylinder

The situation changes if we are dealing with a truncated circular cylinder. Distinctive feature This type of cylinder differs from the classic one in that its bases do not lie on parallel planes, and therefore the formula for calculating the volume of a cylinder takes on a slightly different form:

V = P*R 2 *(H 1 +H 2)/2, where:

• V is the volume of the cylinder;
• R - radius;
• H1 - high height;
• H2 - lower height.

Solution: V = 3.14*3*3*(5+3)/2 = 113.04 cm 3.

The heights are numbered randomly, so that for solving a specific problem the order can be chosen by the participant himself. As you know, the amount does not change by rearranging places.

There are other types of cylinders, for example: elliptical, parabolic and hyperbolic. They are described by second-order equations, and completely different parameters are needed to calculate their volume.

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