The use of geometric shapes is actively carried out in absolutely all sectors of the economy, industry and so on.That is why this subject so thoroughly studied in the school curriculum.But not all of us are well mastered this interesting science, so your attention is invited to remember that a cylinder and how to calculate its volume?That is, before you find out what the volume of the cylinder, it is necessary to understand what the figure was.Cylinder - a volumetric figure, consisting of the following elements: two identical parallel circles (circles of equal area) and forming a cylinder connecting these circles.But there is one condition - the cylinder and the axis thereof must be perpendicular to the two circles, that is, one circle is literally a mirror image of the other.
We have described the most simple example - a right circular cylinder.But in life, we can not only meet such, because their diversity is so large that all of them describe virtually impossible.But we will not go and look at the most common simple cylinder.So now that we know what the cylinder, it is possible to calculate its volume.And what is the amount?In other words, you can spend a little comparison - it is an original capacity of the vessel.From this definition, it is clear that such a response can not have perfectly flat shape, and a three-dimensional, Kojima is a cylinder.
now turn a little to the figures and calculations.To find out what is the volume of a cylinder, it is necessary to take advantage of all the well-known formula, by which it is calculated: V = πr² h
Now consider all the values of the formula:
V - volume of the cylinder;
π - pi;
r - radius of the circle;
h - the height of the cylinder.
a cylinder capacity we understand, the radius of the circle is clear, what is the number Pi and the height of the cylinder?
Pi - a constant, showing the ratio of the circumference to the length of its diameter.It is considered that it is numerically equal to 3.14.Although in reality this number when the integer part of a 10 trillion marks (for calculations in 2011)!But for convenience, we use the generally accepted size, because we do not need high-precision calculations.Although, for example, in space using the maximum possible number of characters after the decimal point!
Cylinder height - is the perpendicular distance between its two planes, in our case - circles.The height is the image of the cylinder.And most interesting is that this value is exactly the same throughout the length of the conjugated circular cylinder.
Now that you know all of the variables in the equation, there is the question of whether, and why so?Let us explain this with an example of the box.Everyone knows that its volume is the product of its three dimensions: length, width and height.A base area of the figure is the product of length to width, i.e.it turns out that the volume is the product of the square base and the height.And now back to our cylinder, all similarly: V = Sh, where S - area of the cylinder, as the basis of our circle, and the area of a circle is equal to: S = πr².
Now we all know how to calculate the volume of a cylinder, but it can give us?What is the practical application of acquired knowledge?In everyday life, these skills are minimized, for example, you can calculate how much water will fill one or the other cylindrical object as will fit loose materials in one or another of the cylindrical container.While we can do without it.But in the industry without such knowledge simply can not do.For example, in the manufacture of tubes for different applications is possible to calculate how much of a liquid or gas, they will pass per unit of time, etc.
