How to calculate barrel volume

How to calculate barrel volume

Many construction materials, fuel, foodstuff arrive on distribution centers in tanks of a form, cylindrical or close to them. It can be barrels, tanks or cans. In all similar cases for determination of amount of substance it is necessary to calculate volume at first. The form of such tanks can differ a little from a classical cylinder therefore also methods of calculations will differ.

It is required to you

  • - tools for measurement of length;
  • - calculator.

Instruction

1. The barrel can have the correct cylindrical form. In this case its basis represents a circle. If there is an opportunity, find the center of the basis, carry out through it diameter and measure. Divide it into 2. Radius will turn out. It can be done at the barrel lying on one side or turned. When there is no such opportunity, measure length circles of the basis and find radius on a formula R=P/2π where R is basis radius, and P is circle length.

2. Measure barrel height. The easiest to make it a roulette. For accuracy draw on one side the line which will be strictly perpendicular to the basis. Calculate barrel volume on the same formula, as the volume of any other cylinder. V=π*R2*H, where V – volume, R – the radius of the basis of a barrel, H – height.

3. The barrel basis not necessarily is a circle, and the side surface can be curved. In this case you need to make some more measurements. If its sides are bent on a parabola or on a circle arch, calculate or measure diameter more of average section. Designate diameter of the basis as D', and the area of average section as D''.

4. The volume of a barrel which side surface is bent on a circle arch, calculate, having increased number π by 1/12 heights and for the sum of the doubled square of diameter of average section and a square of the basis. It can be expressed formula V=π*H/12 * (2D '' 2+D'2) where H is height, D' and D'' — respectively diameters of the basis and average section, and V – volume.

5. By the similar principle also the volume of a barrel which side surface is bent on a parabola is calculated. It is equal to the work of number π on 1/15 heights and for the sum of the doubled square of diameter of the basis, the work of both diameters and 0, 75 squares of diameter of the basis). This action can be designated by formula V=π*H/15 * (2D '' 2+D '* D' '+ 0.75D'2).

Author: «MirrorInfo» Dream Team


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