Space Diagonal of Barrel given Height Calculator

✖Height of Barrel is the measure of Barrel from base to top.ⓘ Height of Barrel [h]			+10% -10%
✖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%

✖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 given Height [d_Space]

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Space Diagonal of Barrel given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Barrel = sqrt(Height of Barrel^2+(4*((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2))))
d_Space = sqrt(h^2+(4*((3*V)/(pi*h)-(2*r_Middle^2))))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Barrel: 12 Meter --> 12 Meter No Conversion Required
Volume of Barrel: 2830 Cubic Meter --> 2830 Cubic Meter No Conversion Required
Radius at Middle of Barrel: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt(h^2+(4*((3*V)/(pi*h)-(2*r_Middle^2)))) --> sqrt(12^2+(4*((3*2830)/(pi*12)-(2*10^2))))

Evaluating ... ...

d_Space = 15.6466283237037

STEP 3: Convert Result to Output's Unit

15.6466283237037 Meter --> No Conversion Required

FINAL ANSWER

15.6466283237037 ≈ 15.64663 Meter <-- Space Diagonal 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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< Space Diagonal of Barrel Calculators

Space Diagonal of Barrel given Volume

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

Space Diagonal of Barrel given Height

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

Space Diagonal of Barrel

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

Space Diagonal of Barrel given Height Formula

LaTeX Go

Space Diagonal of Barrel = sqrt(Height of Barrel^2+(4*((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2))))
d_Space = sqrt(h^2+(4*((3*V)/(pi*h)-(2*r_Middle^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 Space Diagonal of Barrel given Height?

Space Diagonal of Barrel given Height calculator uses Space Diagonal of Barrel = sqrt(Height of Barrel^2+(4*((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2)))) to calculate the Space Diagonal of Barrel, Space Diagonal of Barrel given Height formula is defined as the straight line connecting two opposite vertices of the barrel across its volume, that are not on the same face, and calculated using the height of Barrel. Space Diagonal of Barrel is denoted by d_Space symbol.

How to calculate Space Diagonal of Barrel given Height using this online calculator? To use this online calculator for Space Diagonal of Barrel given Height, enter Height of Barrel (h), Volume of Barrel (V) & Radius at Middle of Barrel (r_Middle) and hit the calculate button. Here is how the Space Diagonal of Barrel given Height calculation can be explained with given input values -> 15.64663 = sqrt(12^2+(4*((3*2830)/(pi*12)-(2*10^2)))).

FAQ

What is Space Diagonal of Barrel given Height?

Space Diagonal of Barrel given Height formula is defined as the straight line connecting two opposite vertices of the barrel across its volume, that are not on the same face, and calculated using the height of Barrel and is represented as d_Space = sqrt(h^2+(4*((3*V)/(pi*h)-(2*r_Middle^2)))) or Space Diagonal of Barrel = sqrt(Height of Barrel^2+(4*((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2)))). Height of Barrel is the measure of Barrel from base to top, 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.

How to calculate Space Diagonal of Barrel given Height?

Space Diagonal of Barrel given Height formula is defined as the straight line connecting two opposite vertices of the barrel across its volume, that are not on the same face, and calculated using the height of Barrel is calculated using Space Diagonal of Barrel = sqrt(Height of Barrel^2+(4*((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2)))). To calculate Space Diagonal of Barrel given Height, you need Height of Barrel (h), Volume of Barrel (V) & Radius at Middle of Barrel (r_Middle). With our tool, you need to enter the respective value for Height of Barrel, Volume of Barrel & Radius at Middle 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 Space Diagonal of Barrel?

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

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

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