Volume of Barrel Calculator

✖Height of Barrel is the measure of Barrel from base to top.ⓘ Height of Barrel [h]			+10% -10%
✖Radius at Middle of Barrel is the radius measured at the middle of the Barrel.ⓘ Radius at Middle of Barrel [r_Middle]			+10% -10%
✖Radius at Top and Bottom of Barrel is the radius measured at the top and bottom of Barrel.ⓘ Radius at Top and Bottom of Barrel [r_Top/Bottom]			+10% -10%

✖Volume of Barrel is the amount of three dimensional space covered by the closed surface of Barrel.ⓘ Volume of Barrel [V]

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Volume of Barrel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)
V = (pi*h)/3*((2*r_Middle^2)+r_Top/Bottom^2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Barrel - (Measured in Cubic Meter) - Volume of Barrel is the amount of three dimensional space covered by the closed surface of Barrel.
Height of Barrel - (Measured in Meter) - Height of Barrel is the measure of Barrel from base to top.
Radius at Middle of Barrel - (Measured in Meter) - Radius at Middle of Barrel is the radius measured at the middle of the Barrel.
Radius at Top and Bottom of Barrel - (Measured in Meter) - Radius at Top and Bottom of Barrel is the radius measured at the top and bottom of Barrel.

STEP 1: Convert Input(s) to Base Unit

Height of Barrel: 12 Meter --> 12 Meter No Conversion Required
Radius at Middle of Barrel: 10 Meter --> 10 Meter No Conversion Required
Radius at Top and Bottom of Barrel: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (pi*h)/3*((2*r_Middle^2)+r_Top/Bottom^2) --> (pi*12)/3*((2*10^2)+5^2)

Evaluating ... ...

V = 2827.43338823081

STEP 3: Convert Result to Output's Unit

2827.43338823081 Cubic Meter --> No Conversion Required

FINAL ANSWER

2827.43338823081 ≈ 2827.433 Cubic Meter <-- Volume of Barrel

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< Volume of Barrel Calculators

Volume of Barrel given Space Diagonal and both Radius

LaTeX Go Volume of Barrel = (pi*sqrt(Space Diagonal of Barrel^2-(4*Radius at Top and Bottom of Barrel^2)))/3*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)

Volume of Barrel given Height

LaTeX Go Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+(Space Diagonal of Barrel^2-Height of Barrel^2)/4)

Volume of Barrel

LaTeX Go Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)

Volume of Barrel Formula

LaTeX Go

Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)
V = (pi*h)/3*((2*r_Middle^2)+r_Top/Bottom^2)

What is Barrel?

A Barrel or cask is a hollow cylindrical container with a bulging center, longer than it is wide. They are traditionally made of wooden staves and bound by wooden or metal hoops. The word vat is often used for large containers for liquids, usually alcoholic beverages; a small barrel or cask is known as a keg.The barrel has also been used as a standard size of measure referring to a set capacity or weight of a given commodity.

How to Calculate Volume of Barrel?

Volume of Barrel calculator uses Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2) to calculate the Volume of Barrel, Volume of Barrel formula is defined as the amount of three dimensional space occupied by the closed surface of Barrel. Volume of Barrel is denoted by V symbol.

How to calculate Volume of Barrel using this online calculator? To use this online calculator for Volume of Barrel, enter Height of Barrel (h), Radius at Middle of Barrel (r_Middle) & Radius at Top and Bottom of Barrel (r_Top/Bottom) and hit the calculate button. Here is how the Volume of Barrel calculation can be explained with given input values -> 2827.433 = (pi*12)/3*((2*10^2)+5^2).

FAQ

What is Volume of Barrel?

Volume of Barrel formula is defined as the amount of three dimensional space occupied by the closed surface of Barrel and is represented as V = (pi*h)/3*((2*r_Middle^2)+r_Top/Bottom^2) or Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2). Height of Barrel is the measure of Barrel from base to top, Radius at Middle of Barrel is the radius measured at the middle of the Barrel & Radius at Top and Bottom of Barrel is the radius measured at the top and bottom of Barrel.

How to calculate Volume of Barrel?

Volume of Barrel formula is defined as the amount of three dimensional space occupied by the closed surface of Barrel is calculated using Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2). To calculate Volume of Barrel, you need Height of Barrel (h), Radius at Middle of Barrel (r_Middle) & Radius at Top and Bottom of Barrel (r_Top/Bottom). With our tool, you need to enter the respective value for Height of Barrel, Radius at Middle of Barrel & Radius at Top and Bottom of Barrel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Barrel?

In this formula, Volume of Barrel uses Height of Barrel, Radius at Middle of Barrel & Radius at Top and Bottom of Barrel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+(Space Diagonal of Barrel^2-Height of Barrel^2)/4)
Volume of Barrel = (pi*sqrt(Space Diagonal of Barrel^2-(4*Radius at Top and Bottom of Barrel^2)))/3*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)

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