Space Diagonal 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%

✖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 Volume [d_Space]

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Space Diagonal of Barrel given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
d_Space = sqrt(((3*V)/(pi*((2*r_Middle^2)+r_Top/Bottom^2)))^2+(4*r_Top/Bottom^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.
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

d_Space = sqrt(((3*V)/(pi*((2*r_Middle^2)+r_Top/Bottom^2)))^2+(4*r_Top/Bottom^2)) --> sqrt(((3*2830)/(pi*((2*10^2)+5^2)))^2+(4*5^2))

Evaluating ... ...

d_Space = 15.628869171707

STEP 3: Convert Result to Output's Unit

15.628869171707 Meter --> No Conversion Required

FINAL ANSWER

15.628869171707 ≈ 15.62887 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

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

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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 Volume Formula

LaTeX Go

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 Volume?

Space Diagonal of Barrel given Volume calculator uses 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)) to calculate the Space Diagonal of Barrel, Space Diagonal of Barrel given Volume formula is defined as the straight line connecting two opposite vertices of the barrel across its volume, that are not on the same face, calculated using volume and both the radius of the Barrel. Space Diagonal of Barrel is denoted by d_Space symbol.

How to calculate Space Diagonal of Barrel given Volume using this online calculator? To use this online calculator for Space Diagonal 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 Space Diagonal of Barrel given Volume calculation can be explained with given input values -> 15.62887 = sqrt(((3*2830)/(pi*((2*10^2)+5^2)))^2+(4*5^2)).

FAQ

What is Space Diagonal of Barrel given Volume?

Space Diagonal of Barrel given Volume formula is defined as the straight line connecting two opposite vertices of the barrel across its volume, that are not on the same face, calculated using volume and both the radius of the Barrel and is represented as d_Space = sqrt(((3*V)/(pi*((2*r_Middle^2)+r_Top/Bottom^2)))^2+(4*r_Top/Bottom^2)) or 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)). 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 Space Diagonal of Barrel given Volume?

Space Diagonal of Barrel given Volume formula is defined as the straight line connecting two opposite vertices of the barrel across its volume, that are not on the same face, calculated using volume and both the radius of the Barrel is calculated using 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)). To calculate Space Diagonal 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 Space Diagonal of Barrel?

In this formula, Space Diagonal of Barrel uses Volume 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 -

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

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