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Volume of Barrel given Height Formula

GoVolume of Barrel Formula

GoVolume of Barrel given Space Diagonal and both Radius Formula

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

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

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

Volume of Barrel given Height Example

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

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

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

2865.1325 = \frac{3.1416 \cdot 12}{3} \cdot ((2 \cdot 10^{2}) + \frac{16^{2} - 12^{2}}{4})

2865.1325m³ = \frac{3.1416 \cdot 12m}{3} \cdot ((2 \cdot {10m}^{2}) + \frac{{16m}^{2} - {12m}^{2}}{4})

2865.1325 = \frac{3.1416 \cdot 12}{3} \cdot ((2 \cdot 10^{2}) + \frac{16^{2} - 12^{2}}{4})

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Volume of Barrel given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{π \cdot 12m}{3} \cdot ((2 \cdot {10m}^{2}) + \frac{{16m}^{2} - {12m}^{2}}{4})

Next Step Substitute values of Constants

∴

V = \frac{3.1416 \cdot 12m}{3} \cdot ((2 \cdot {10m}^{2}) + \frac{{16m}^{2} - {12m}^{2}}{4})

Next Step Prepare to Evaluate

∴

V = \frac{3.1416 \cdot 12}{3} \cdot ((2 \cdot 10^{2}) + \frac{16^{2} - 12^{2}}{4})

Next Step Evaluate

∴

V = 2865.13250007389m³

LAST Step Rounding Answer

∴

V = 2865.1325m³

Volume of Barrel given Height Formula Elements

Variables

Constants

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

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

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

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

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

Other Formulas to find Volume of Barrel

Go Volume of Barrel

V = \frac{π \cdot h}{3} \cdot ((2 \cdot {r Middle}^{2}) + {r Top/Bottom}^{2})

Go Volume of Barrel given Space Diagonal and both Radius

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

How to Evaluate Volume of Barrel given Height?

Volume of Barrel given Height evaluator uses Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+(Space Diagonal of Barrel^2-Height of Barrel^2)/4) to evaluate the Volume of Barrel, Volume of Barrel given Height formula is defined as the amount of three-dimensional space occupied by the closed surface of the Barrel, calculated using height, space diagonal, and radius at the middle of the Barrel. Volume of Barrel is denoted by V symbol.

How to evaluate Volume of Barrel given Height using this online evaluator? To use this online evaluator for Volume of Barrel given Height, enter Height of Barrel (h), Radius at Middle of Barrel (r_Middle) & Space Diagonal of Barrel (d_Space) and hit the calculate button.

FAQs on Volume of Barrel given Height

What is the formula to find Volume of Barrel given Height?

The formula of Volume of Barrel given Height is expressed as Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+(Space Diagonal of Barrel^2-Height of Barrel^2)/4). Here is an example- 2865.133 = (pi*12)/3*((2*10^2)+(16^2-12^2)/4).

How to calculate Volume of Barrel given Height?

With Height of Barrel (h), Radius at Middle of Barrel (r_Middle) & Space Diagonal of Barrel (d_Space) we can find Volume of Barrel given Height using the formula - Volume of Barrel = (pi*Height of Barrel)/3*((2*Radius at Middle of Barrel^2)+(Space Diagonal of Barrel^2-Height of Barrel^2)/4). This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Barrel?

Here are the different ways to Calculate Volume of Barrel-

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

Can the Volume of Barrel given Height be negative?

No, the Volume of Barrel given Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Barrel given Height?

Volume of Barrel given Height is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Barrel given Height can be measured.

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Volume of Barrel given Height Formula

​GoVolume of Barrel Formula

​GoVolume of Barrel given Space Diagonal and both Radius Formula

Volume of Barrel given Height Example

Volume of Barrel given Height Solution

Volume of Barrel given Height Formula Elements

Other Formulas to find Volume of Barrel

How to Evaluate Volume of Barrel given Height?

FAQs on Volume of Barrel given Height

Variable Name

GoVolume of Barrel Formula

GoVolume of Barrel given Space Diagonal and both Radius Formula