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Space Diagonal of Barrel given Height Formula

GoSpace Diagonal of Barrel Formula

GoSpace Diagonal of Barrel given Volume 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{h^{2} + (4 \cdot (\frac{3 \cdot V}{π \cdot h} - (2 \cdot {r Middle}^{2})))}

d_Space - Space Diagonal of Barrel?h - Height of Barrel?V - Volume of Barrel?r_Middle - Radius at Middle of Barrel?π - Archimedes' constant?

Space Diagonal of Barrel given Height Example

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

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

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

15.6466 = \sqrt{12^{2} + (4 \cdot (\frac{3 \cdot 2830}{3.1416 \cdot 12} - (2 \cdot 10^{2})))}

15.6466m = \sqrt{{12m}^{2} + (4 \cdot (\frac{3 \cdot 2830m³}{3.1416 \cdot 12m} - (2 \cdot {10m}^{2})))}

15.6466 = \sqrt{12^{2} + (4 \cdot (\frac{3 \cdot 2830}{3.1416 \cdot 12} - (2 \cdot 10^{2})))}

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Space Diagonal of Barrel given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Space = \sqrt{{12m}^{2} + (4 \cdot (\frac{3 \cdot 2830m³}{π \cdot 12m} - (2 \cdot {10m}^{2})))}

Next Step Substitute values of Constants

∴

d Space = \sqrt{{12m}^{2} + (4 \cdot (\frac{3 \cdot 2830m³}{3.1416 \cdot 12m} - (2 \cdot {10m}^{2})))}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{12^{2} + (4 \cdot (\frac{3 \cdot 2830}{3.1416 \cdot 12} - (2 \cdot 10^{2})))}

Next Step Evaluate

∴

d Space = 15.6466283237037m

LAST Step Rounding Answer

∴

d Space = 15.6466m

Space Diagonal of Barrel given Height 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

Height of Barrel

Height of Barrel is the measure of Barrel from base to top.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

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 Volume

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})}

How to Evaluate Space Diagonal of Barrel given Height?

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

FAQs on Space Diagonal of Barrel given Height

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

The formula of Space Diagonal of Barrel given Height is expressed as 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)))). Here is an example- 15.64663 = sqrt(12^2+(4*((3*2830)/(pi*12)-(2*10^2)))).

How to calculate Space Diagonal of Barrel given Height?

With Height of Barrel (h), Volume of Barrel (V) & Radius at Middle of Barrel (r_Middle) we can find Space Diagonal of Barrel given Height using the formula - 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)))). 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(((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))

Can the Space Diagonal of Barrel given Height be negative?

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

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

Space Diagonal of Barrel given Height 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 Height can be measured.

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Space Diagonal of Barrel given Height Formula

​GoSpace Diagonal of Barrel Formula

​GoSpace Diagonal of Barrel given Volume Formula

Space Diagonal of Barrel given Height Example

Space Diagonal of Barrel given Height Solution

Space Diagonal of Barrel given Height Formula Elements

Other Formulas to find Space Diagonal of Barrel

How to Evaluate Space Diagonal of Barrel given Height?

FAQs on Space Diagonal of Barrel given Height

Variable Name

GoSpace Diagonal of Barrel Formula

GoSpace Diagonal of Barrel given Volume Formula