Height of Barrel Calculator

✖Space Diagonal of Barrel is a line connecting two opposite vertices of barrel across its volume, that are not on the same face.ⓘ Space Diagonal of Barrel [d_Space]			+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 [h]

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Height of Barrel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Barrel = sqrt(Space Diagonal of Barrel^2-(4*Radius at Top and Bottom of Barrel^2))
h = sqrt(d_Space^2-(4*r_Top/Bottom^2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Height of Barrel - (Measured in Meter) - Height of Barrel is the measure of Barrel from base to top.
Space Diagonal of Barrel - (Measured in Meter) - Space Diagonal of Barrel is a line connecting two opposite vertices of barrel across its volume, that are not on the same face.
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

Space Diagonal of Barrel: 16 Meter --> 16 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 = sqrt(d_Space^2-(4*r_Top/Bottom^2)) --> sqrt(16^2-(4*5^2))

Evaluating ... ...

h = 12.4899959967968

STEP 3: Convert Result to Output's Unit

12.4899959967968 Meter --> No Conversion Required

FINAL ANSWER

12.4899959967968 ≈ 12.49 Meter <-- Height of Barrel

(Calculation completed in 00.004 seconds)

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Credits

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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< Height of Barrel Calculators

Height of Barrel given Volume

LaTeX 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

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

Height of Barrel Formula

LaTeX Go

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

Height of Barrel calculator uses Height of Barrel = sqrt(Space Diagonal of Barrel^2-(4*Radius at Top and Bottom of Barrel^2)) to calculate the Height of Barrel, Height of Barrel formula is defined as the measurement of Barrel from head to foot or from base to top. Height of Barrel is denoted by h symbol.

How to calculate Height of Barrel using this online calculator? To use this online calculator for Height of Barrel, enter Space Diagonal of Barrel (d_Space) & Radius at Top and Bottom of Barrel (r_Top/Bottom) and hit the calculate button. Here is how the Height of Barrel calculation can be explained with given input values -> 12.49 = sqrt(16^2-(4*5^2)).

FAQ

What is Height of Barrel?

Height of Barrel formula is defined as the measurement of Barrel from head to foot or from base to top and is represented as h = sqrt(d_Space^2-(4*r_Top/Bottom^2)) or Height of Barrel = sqrt(Space Diagonal of Barrel^2-(4*Radius at Top and Bottom of Barrel^2)). Space Diagonal of Barrel is a line connecting two opposite vertices of barrel across its volume, that are not on the same face & Radius at Top and Bottom of Barrel is the radius measured at the top and bottom of Barrel.

How to calculate Height of Barrel?

Height of Barrel formula is defined as the measurement of Barrel from head to foot or from base to top is calculated using Height of Barrel = sqrt(Space Diagonal of Barrel^2-(4*Radius at Top and Bottom of Barrel^2)). To calculate Height of Barrel, you need Space Diagonal of Barrel (d_Space) & Radius at Top and Bottom of Barrel (r_Top/Bottom). With our tool, you need to enter the respective value for Space Diagonal 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 Space Diagonal 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 = (3*Volume of Barrel)/(pi*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2))

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