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Space Diagonal of Barrel given Volume Formula

GoSpace Diagonal of Barrel Formula

GoSpace Diagonal of Barrel given Height Formula

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Space Diagonal of Barrel is a line connecting two opposite vertices of barrel across its volume, that are not on the same face. Check FAQs

d Space = \sqrt{{(\frac{3 \cdot V}{π \cdot ((2 \cdot {r Middle}^{2}) + {r Top/Bottom}^{2})})}^{2} + (4 \cdot {r Top/Bottom}^{2})}

d_Space - Space Diagonal of Barrel?V - Volume of Barrel?r_Middle - Radius at Middle of Barrel?r_Top/Bottom - Radius at Top and Bottom of Barrel?π - Archimedes' constant?

Space Diagonal of Barrel given Volume Example

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Here is how the Space Diagonal of Barrel given Volume equation looks like with Values.

Here is how the Space Diagonal of Barrel given Volume equation looks like with Units.

Here is how the Space Diagonal of Barrel given Volume equation looks like.

15.6289 = \sqrt{{(\frac{3 \cdot 2830}{3.1416 \cdot ((2 \cdot 10^{2}) + 5^{2})})}^{2} + (4 \cdot 5^{2})}

15.6289m = \sqrt{{(\frac{3 \cdot 2830m³}{3.1416 \cdot ((2 \cdot {10m}^{2}) + {5m}^{2})})}^{2} + (4 \cdot {5m}^{2})}

15.6289 = \sqrt{{(\frac{3 \cdot 2830}{3.1416 \cdot ((2 \cdot 10^{2}) + 5^{2})})}^{2} + (4 \cdot 5^{2})}

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Space Diagonal of Barrel given Volume Solution

Follow our step by step solution on how to calculate Space Diagonal of Barrel given Volume?

FIRST Step Consider the formula

d Space = \sqrt{{(\frac{3 \cdot V}{π \cdot ((2 \cdot {r Middle}^{2}) + {r Top/Bottom}^{2})})}^{2} + (4 \cdot {r Top/Bottom}^{2})}

Next Step Substitute values of Variables

∴

d Space = \sqrt{{(\frac{3 \cdot 2830m³}{π \cdot ((2 \cdot {10m}^{2}) + {5m}^{2})})}^{2} + (4 \cdot {5m}^{2})}

Next Step Substitute values of Constants

∴

d Space = \sqrt{{(\frac{3 \cdot 2830m³}{3.1416 \cdot ((2 \cdot {10m}^{2}) + {5m}^{2})})}^{2} + (4 \cdot {5m}^{2})}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{{(\frac{3 \cdot 2830}{3.1416 \cdot ((2 \cdot 10^{2}) + 5^{2})})}^{2} + (4 \cdot 5^{2})}

Next Step Evaluate

∴

d Space = 15.628869171707m

LAST Step Rounding Answer

∴

d Space = 15.6289m

Space Diagonal of Barrel given Volume Formula Elements

Variables

Constants

Functions

Space Diagonal of Barrel

Space Diagonal of Barrel is a line connecting two opposite vertices of barrel across its volume, that are not on the same face.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Barrel

Volume of Barrel

Volume of Barrel is the amount of three dimensional space covered by the closed surface of Barrel.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Barrel

Radius at Middle of Barrel

Radius at Middle of Barrel is the radius measured at the middle of the Barrel.

Symbol: r_Middle

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius at Middle of Barrel

Radius at Top and Bottom of Barrel

Radius at Top and Bottom of Barrel is the radius measured at the top and bottom of Barrel.

Symbol: r_Top/Bottom

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius at Top and Bottom of Barrel

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Space Diagonal of Barrel

Go Space Diagonal of Barrel

d Space = \sqrt{h^{2} + (4 \cdot {r Top/Bottom}^{2})}

Go Space Diagonal of Barrel given Height

d Space = \sqrt{h^{2} + (4 \cdot (\frac{3 \cdot V}{π \cdot h} - (2 \cdot {r Middle}^{2})))}

How to Evaluate Space Diagonal of Barrel given Volume?

Space Diagonal of Barrel given Volume evaluator 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 evaluate 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 evaluate Space Diagonal of Barrel given Volume using this online evaluator? To use this online evaluator 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.

FAQs on Space Diagonal of Barrel given Volume

What is the formula to find Space Diagonal of Barrel given Volume?

The formula of Space Diagonal of Barrel given Volume is expressed as 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)). Here is an example- 15.62887 = sqrt(((3*2830)/(pi*((2*10^2)+5^2)))^2+(4*5^2)).

How to calculate Space Diagonal of Barrel given Volume?

With Volume of Barrel (V), Radius at Middle of Barrel (r_Middle) & Radius at Top and Bottom of Barrel (r_Top/Bottom) we can find Space Diagonal of Barrel given Volume using the formula - 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)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Space Diagonal of Barrel?

Here are the different ways to Calculate Space Diagonal of Barrel-

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))))

Can the Space Diagonal of Barrel given Volume be negative?

No, the Space Diagonal of Barrel given Volume, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Barrel given Volume?

Space Diagonal of Barrel given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Barrel given Volume can be measured.

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Space Diagonal of Barrel given Volume Formula

​GoSpace Diagonal of Barrel Formula

​GoSpace Diagonal of Barrel given Height Formula

Space Diagonal of Barrel given Volume Example

Space Diagonal of Barrel given Volume Solution

Space Diagonal of Barrel given Volume Formula Elements

Other Formulas to find Space Diagonal of Barrel

How to Evaluate Space Diagonal of Barrel given Volume?

FAQs on Space Diagonal of Barrel given Volume

Variable Name

GoSpace Diagonal of Barrel Formula

GoSpace Diagonal of Barrel given Height Formula