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# How to calculate the volume of a barrel

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Many building materials, fuel, foodstuffs come to wholesale bases in containers of cylindrical or close to them forms.

It can be drums, cisterns or cans.

In all such cases, to determine the amount of a substance, you must first calculate the volume.

The shape of such containers may differ slightly from the classical cylinder, and therefore the calculation methods will differ.

You will need

• - tools for measuring length-
• - calculator.

Instructions

1

The barrel can have a regular cylindrical shape. In this case, its base is a circle. If possible, find the center of the base, draw a diameter through it and measure it. Divide it by 2. This will give you a radius. This can be done with a flank lying on its side or inverted. When this is not possible, measure the circumference of the base and find the radius by the formula R = P / 2 ?, where R is the radius of the base and P is the circumference.

2

Measure the height of the barrel. This is most easily done with a tape measure. For accuracy, draw a line on the side that will be strictly perpendicular to the base. Calculate the volume of the barrel by the same formula as the volume of any other cylinder. V =? * R2 * H, where V - volume, R - radius of the base of the drum, H - height.

3

The bottom of the barrel does not necessarily represent itselfThe circumference, and the lateral surface may be curved. In this case, you need to make a few more measurements. If its sides are curved along a parabola or along an arc of a circle, calculate or measure the diameter of the middle section. Mark the diameter of the base as D ', and the area of ​​the middle section as D ".

4

The volume of the barrel, the lateral surface of which is curvedOn the arc of a circle, calculate by multiplying the number? To 1/12 of the height and the sum of the doubled square of the diameter of the average section and the square of the base. This can be expressed by the formula V =? * H / 12 * (2D2 + D'2), where H is the height, D 'and D "are the diameters of the base and the mean cross-section, respectively, and V is the volume.

5

By a similar principle, the barrel volume is calculated,The lateral surface of which is curved along a parabola. Is it equal to the product of a number? 1/15 of the height and the sum of the doubled square of the diameter of the base, the product of both diameters and 0, 75 of the square of the diameter of the base). This action can be designated by the formula V =? * H / 15 * (2D? 2 + D '* D "+ 0,75D'2).

How to calculate the volume of a barrel Was last modified: June 21st, 2017 By
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