You will need

- roulette,
- calculator,
- - Handbook of elementary mathematics.

Instruction

1

Capacity in the form of a cylinder.

Measure tape measure the height and base diameter of the cylinder – usually, this form have the gas cylinders, drums and tank cars for different liquids, and glass, plastic and metal cans for canned food. Divide the diameter by two to get the radius. Multiply area of base of cylinder (area of a circle is equal to 3, 14* radius squared) to its height. This is the volume of the cylinder.

Measure tape measure the height and base diameter of the cylinder – usually, this form have the gas cylinders, drums and tank cars for different liquids, and glass, plastic and metal cans for canned food. Divide the diameter by two to get the radius. Multiply area of base of cylinder (area of a circle is equal to 3, 14* radius squared) to its height. This is the volume of the cylinder.

2

Capacity in the form of a cone.

Measure tape measure the base diameter and the height of the cone. Use the calculator to calculate the volume of the container. It is equal to one third the product of area of base (circle) and the height of the cone.

Measure tape measure the base diameter and the height of the cone. Use the calculator to calculate the volume of the container. It is equal to one third the product of area of base (circle) and the height of the cone.

3

Capacity in the form of a ball.

Tape measure measure the diameter of the ball. If it is difficult to execute, measure length of a circle – clasp your roulette ball at the equator or the zero Meridian, i.e. in the place where the circumference is maximum. In order to calculate the diameter, the resulting value is divided by the number of "PI", that is 3,14. Divide the diameter in half – this will be the radius. The volume of a sphere is equal to 4/3 works of PI and the radius of the ball in the cube.

Tape measure measure the diameter of the ball. If it is difficult to execute, measure length of a circle – clasp your roulette ball at the equator or the zero Meridian, i.e. in the place where the circumference is maximum. In order to calculate the diameter, the resulting value is divided by the number of "PI", that is 3,14. Divide the diameter in half – this will be the radius. The volume of a sphere is equal to 4/3 works of PI and the radius of the ball in the cube.

4

Capacity in the form of a parallelepiped.

A tape measure, measure the width, height and length of the parallelepiped, that is, three sides, having one common point. Multiply the values obtained. This will be the highest volume of containers of this type, often used for storage and transportation of various liquids.

A tape measure, measure the width, height and length of the parallelepiped, that is, three sides, having one common point. Multiply the values obtained. This will be the highest volume of containers of this type, often used for storage and transportation of various liquids.

Note

In calculations, all measurements of the geometric dimensions must be in the same units (millimeters, centimeters or meters).

Useful advice

For more complex forms of containers, they should be divided into such geometric shapes, with reference on mathematics available ready-made formula for calculating the volume (sphere, cylinder, pyramid, parallelepiped, etc.). Calculating separately the volumes of the components of the figures and after adding them together you get a tank volume of complex shape.

# Advice 2 : How to find the volume of the container

To determine the amount of any capacity in several ways. Geometrically this can be done if the container has the correct form. If the vessel is hermetically closed, but you know, the material from which made the walls, its volume can be calculated. To measure the volume of the container is irregular in shape you can use a liquid or gas.

You will need

- formula for determination of geometrical bodies;
- - measuring vessel or container in shape;
- - known gas mass.

Instruction

1

If the container has a regular geometric shape (cuboid, prism, pyramid, sphere, cylinder, cone, etc.), measure its internal linear dimensions and make the calculation. For example, if a barrel has the shape of a cylinder, measure its inner diameter d and h visotu. Then calculate the volume by the formula for determining the volume of the cylinder. For this, the number π≈3,14 multiply by the square of the base diameter and the height of the barrels, and the result divide by the number 4 (V=π∙d2∙h/4). For other geometric bodies also use the appropriate formula for the volumes.

2

In that case, if you calculate the volume of difficult, because of the shape

**of the tank**, fill the tank with fluid (water) so that it completely filled her. In this case, the volume of water is equal to the volume of the measured**capacitance**. Then carefully drain the water in a separate vessel. This can be a special measuring cylinder with graduation marks or the capacity of a geometrically correct form. If the water is poured into a measuring cylinder or other container, on its scale, determine the amount of liquid. It will be equal to the desired value for the measured**capacitance**. If the water is filled in a container of correct shape, calculate its volume by the method described in the previous paragraph.3

Sometimes the capacity is too big in order to be able to use liquid. In this case, upload it in a known mass of gas (this is only possible if it is possible to seal), with known molar masses, for example, of nitrogen M=0,028 kg/mol. Then measure the pressure with a pressure gauge and temperature thermometer inside

**the tank**. The pressure expressed in Pascals and temperature in Kelvins. Determine the volume of the injected gas. For this the mass of gas m multiply by its temperature T and universal gas constant R. the Result divide by the molar mass M and the pressure P (V=(m∙R∙T)/( M∙P). The result is in m3.