You will need

- calculator

Instruction

1

To find the volume

**of a cylinder**, multiply its height by the number "PI" and the square of the radius. As a formula this rule as follows: = V * π * R2, where the volume**of the cylinder**, height**of cylinder**, R is the base radius**of the cylinder**, π is the number PI, approximately equal to 3.14.The volume**of the cylinder**to be measured corresponding to the radius and height of the cubic units of measurement. Ie if, for example, the radius and height**of cylinder**are given in meters, the volume will in cubic meters (m3).The above rule applies only for "normal", i.e. straight circular**cylinder**(**cylinder**, whose base is a circle, and the guide perpendicular to it).2

Example: height

**of cylinder**is 5 cm and the base radius is 2 cm In this case its volume will be equal: 5 * π * 22 ≈ 62,831 cm3.The number π has many calculators and denoted usually by the Greek letter "PI" (π). On the virtual keyboard the standard Windows calculator (in engineering), the number is denoted as pi.3

If instead the radius

**of the cylinder**is set the diameter, use the following formula: = V * π * (D/2)2 or = ¼ * H * π * D2, where D is the diameter of the base**of the cylinder**.4

Example: height and base diameter

**of the cylinder**is 10 cm In this case) to know the volume, calculate the value of the following expression: 10 * π * (10/2)2 ≈ 785,398 cm3.5

In practice, it is generally much easier to measure the perimeter (circumference) of the base

**of the cylinder**than its diameter or radius. To calculate the volume**of a cylinder**if you know the perimeter of his base, use the following formula:About = ¼ * B * N2 / p, where P is the perimeter of the base.When you use this formula to calculate the capacity of containers (dishes) please note that the actual capacity would be slightly less than calculated based on the volume of vessel walls).6

According to the definition, the base

- the volume

**of the cylinder**can be an arbitrary line in the plane, and its image is not necessarily perpendicular to the base. In the General case to know the volume**of the cylinder**by the following rules:- the volume**of a cylinder**equals the length of the forming to the cross-sectional area**of the cylinder**by the plane perpendicular to the generatrix;- the volume

**of a cylinder**equals the area of the base to the height (distance between bases).Note

The height of the cylinder - the concept is purely geometric. It means the distance between its bases and does not depend on the location of the cylinder in space.