Height of Barrel given Volume Calculator

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

✖Height of Barrel is the measure of Barrel from base to top.ⓘ Height of Barrel given Volume [h]

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Formula

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Height of Barrel given Volume

Formula

`"h" = (3*"V")/(pi*((2*"r"_{"Middle"}^2)+"r"_{"Top/Bottom"}^2))`

Example

`"12.01089m"=(3*"2830m³")/(pi*((2*("10m")^2)+("5m")^2))`

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Height of Barrel given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Height of Barrel - (Measured in Meter) - Height of Barrel is the measure of Barrel from base to top.
Volume of Barrel - (Measured in Cubic Meter) - Volume of Barrel is the amount of three dimensional space covered by the closed surface of Barrel.
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

Volume of Barrel: 2830 Cubic Meter --> 2830 Cubic 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

h = (3*V)/(pi*((2*r_Middle^2)+r_Top/Bottom^2)) --> (3*2830)/(pi*((2*10^2)+5^2))

Evaluating ... ...

h = 12.0108930386684

STEP 3: Convert Result to Output's Unit

12.0108930386684 Meter --> No Conversion Required

FINAL ANSWER

12.0108930386684 ≈ 12.01089 Meter <-- Height of Barrel

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< 2 Height of Barrel Calculators

Height of Barrel given Volume

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

Height of Barrel

Go Height of Barrel = sqrt(Space Diagonal of Barrel^2-(4*Radius at Top and Bottom of Barrel^2))

Height of Barrel given Volume Formula

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

Height of Barrel given Volume calculator uses Height of Barrel = (3*Volume of Barrel)/(pi*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)) to calculate the Height of Barrel, Height of Barrel given Volume formula is defined as the measurement of the Barrel from head to foot or from base to top, calculated using volume and both the radius of the Barrel. Height of Barrel is denoted by h symbol.

How to calculate Height of Barrel given Volume using this online calculator? To use this online calculator for Height of Barrel given Volume, enter Volume of Barrel (V), 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 Height of Barrel given Volume calculation can be explained with given input values -> 12.01089 = (3*2830)/(pi*((2*10^2)+5^2)).

FAQ

What is Height of Barrel given Volume?

Height of Barrel given Volume formula is defined as the measurement of the Barrel from head to foot or from base to top, calculated using volume and both the radius of the Barrel and is represented as h = (3*V)/(pi*((2*r_Middle^2)+r_Top/Bottom^2)) or Height of Barrel = (3*Volume of Barrel)/(pi*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)). Volume of Barrel is the amount of three dimensional space covered by the closed surface of Barrel, 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 Height of Barrel given Volume?

Height of Barrel given Volume formula is defined as the measurement of the Barrel from head to foot or from base to top, calculated using volume and both the radius of the Barrel is calculated using Height of Barrel = (3*Volume of Barrel)/(pi*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)). To calculate Height of Barrel given Volume, you need Volume of Barrel (V), 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 Volume 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 Height of Barrel?

In this formula, Height of Barrel uses Volume of Barrel, Radius at Middle of Barrel & Radius at Top and Bottom of Barrel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of Barrel = sqrt(Space Diagonal of Barrel^2-(4*Radius at Top and Bottom of Barrel^2))

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