How to measure the volume of a cylinder

Under the cylinder-to - understand geometric solid bases which are circles, and the angle between the side surface and the base is 90 degrees. To calculate the volume of a cylinder , there are special formulas and methods. The use of a particular method of measurement is determined by the tools that you have.

You will need

• measuring tools;
• calculator.

Instruction

1. Use for calculating volume of a cylinder formula:V = H x S, where V is the volume of the cylinder; H-height; S – the area of one of the bases; x is a multiplication sign.This formula can be applied only in the case when the footprint is known from the conditions of the problem and requires no prior calculations. For example, if the height of the cylinder is 2 m and the area of one of its bases is equal to 3.5 m, then V = 2 x 3.5 = 7 cubic meters.
2. If the footprint of unknown conditions previously perform a calculation. For this construct in the square is known or measured the radius of the circle lying at the base, and multiply it by the number "PI" equal approximately to 3.14. For example, if the radius is 1.2 m, the footprint is: S = 1.2 x 1.2 x 3,14 = of 4.52 sq. m. Now multiply the value by the height of the cylinderto get volume.
3. In the case of known diameter of the cylinder and height calculate the volume of geometric solids according to the formula:V = 3,14 x H x D2 / 4, where V is the volume of the cylinder; 3,14 – the PI; H – height of cylinder; D – diameter; x – multiplication; / – division sign.So if the diameter of the circle lying at the base is 0.5 m, the height of the cylinder is 1.2 m, the volume will be: 3,14 x 1.2 x 0.5 x 0.5 / 4 = of 0.236 cubic meters.
4. At a known length of the circumference of the base and height find the volume of the cylinder as the product of the height of the cylinder to the quotient of the square of the circumference by the following formula:V = x L2 H / (3,14 x 4), where V is the volume of the cylinder; 3,14 – the PI; H – height of the cylinder; L is the length of the circle lying at the base of the cylinder.
5. If you need to measure the real volume of the cylinder, before carrying out calculations for one of the above formulas produce a measurement of the object by means of measuring instruments. To measure the linear parameters of the geometric body use a ruler, calipers, measuring cord or tape.
6. Apply the principle of copying, if to measure parameters of the cylinder in place is not possible. To do this, take a picture of the cylinder, including its base and height, by placing next to a ruler or object of known size, e.g. a matchbox. Then measure the size of photographs, transferring the data at the appropriate scale.