You will need
  • calculator
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).
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.
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.
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.
In practice, it is generally much easier to measure the perimeter (circumference) of the base of the cylinderthan its diameter or radius. To calculate the volume of a cylinderif 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).
According to the definition, the base 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).