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Height of Barrel given Volume Formula

GoHeight of Barrel Formula

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

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

h - Height 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?

Height of Barrel given Volume Example

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

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

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

12.0109 = \frac{3 \cdot 2830}{3.1416 \cdot ((2 \cdot 10^{2}) + 5^{2})}

12.0109m = \frac{3 \cdot 2830m³}{3.1416 \cdot ((2 \cdot {10m}^{2}) + {5m}^{2})}

12.0109 = \frac{3 \cdot 2830}{3.1416 \cdot ((2 \cdot 10^{2}) + 5^{2})}

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Height of Barrel given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{3 \cdot 2830m³}{π \cdot ((2 \cdot {10m}^{2}) + {5m}^{2})}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h = 12.0108930386684m

LAST Step Rounding Answer

∴

h = 12.0109m

Height of Barrel given Volume Formula Elements

Variables

Constants

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

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

Other Formulas to find Height of Barrel

Go Height of Barrel

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

How to Evaluate Height of Barrel given Volume?

Height of Barrel given Volume evaluator uses Height of Barrel = (3*Volume of Barrel)/(pi*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)) to evaluate the Height of Barrel, Height of Barrel given Volume formula is defined as the measurement of the Barrel from head to foot or from base to top, calculated using volume and both the radius of the Barrel. Height of Barrel is denoted by h symbol.

How to evaluate Height of Barrel given Volume using this online evaluator? To use this online evaluator for Height 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 Height of Barrel given Volume

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

The formula of Height of Barrel given Volume is expressed as Height of Barrel = (3*Volume of Barrel)/(pi*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)). Here is an example- 12.01089 = (3*2830)/(pi*((2*10^2)+5^2)).

How to calculate Height 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 Height of Barrel given Volume using the formula - Height of Barrel = (3*Volume of Barrel)/(pi*((2*Radius at Middle of Barrel^2)+Radius at Top and Bottom of Barrel^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Height of Barrel?

Here are the different ways to Calculate Height of Barrel-

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

Can the Height of Barrel given Volume be negative?

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

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

Height 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 Height of Barrel given Volume can be measured.

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Height of Barrel given Volume Formula

​GoHeight of Barrel Formula

Height of Barrel given Volume Example

Height of Barrel given Volume Solution

Height of Barrel given Volume Formula Elements

Other Formulas to find Height of Barrel

How to Evaluate Height of Barrel given Volume?

FAQs on Height of Barrel given Volume

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GoHeight of Barrel Formula