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Radius at Middle of Barrel Formula

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

r Middle = \sqrt{\frac{\frac{3 \cdot V}{π \cdot h} - {r Top/Bottom}^{2}}{2}}

r_Middle - Radius at Middle of Barrel?V - Volume of Barrel?h - Height of Barrel?r_Top/Bottom - Radius at Top and Bottom of Barrel?π - Archimedes' constant?

Radius at Middle of Barrel Example

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Here is how the Radius at Middle of Barrel equation looks like with Values.

Here is how the Radius at Middle of Barrel equation looks like with Units.

Here is how the Radius at Middle of Barrel equation looks like.

10.0051 = \sqrt{\frac{\frac{3 \cdot 2830}{3.1416 \cdot 12} - 5^{2}}{2}}

10.0051m = \sqrt{\frac{\frac{3 \cdot 2830m³}{3.1416 \cdot 12m} - {5m}^{2}}{2}}

10.0051 = \sqrt{\frac{\frac{3 \cdot 2830}{3.1416 \cdot 12} - 5^{2}}{2}}

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Radius at Middle of Barrel Solution

Follow our step by step solution on how to calculate Radius at Middle of Barrel?

FIRST Step Consider the formula

r Middle = \sqrt{\frac{\frac{3 \cdot V}{π \cdot h} - {r Top/Bottom}^{2}}{2}}

Next Step Substitute values of Variables

∴

r Middle = \sqrt{\frac{\frac{3 \cdot 2830m³}{π \cdot 12m} - {5m}^{2}}{2}}

Next Step Substitute values of Constants

∴

r Middle = \sqrt{\frac{\frac{3 \cdot 2830m³}{3.1416 \cdot 12m} - {5m}^{2}}{2}}

Next Step Prepare to Evaluate

∴

r Middle = \sqrt{\frac{\frac{3 \cdot 2830}{3.1416 \cdot 12} - 5^{2}}{2}}

Next Step Evaluate

∴

r Middle = 10.0051048089221m

LAST Step Rounding Answer

∴

r Middle = 10.0051m

Radius at Middle of Barrel Formula Elements

Variables

Constants

Functions

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

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 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 in Radius of Barrel category

Go Radius at Top and Bottom of Barrel

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

Go Radius at Top and Bottom of Barrel given Space Diagonal and Height

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

How to Evaluate Radius at Middle of Barrel?

Radius at Middle of Barrel evaluator uses Radius at Middle of Barrel = sqrt(((3*Volume of Barrel)/(pi*Height of Barrel)-Radius at Top and Bottom of Barrel^2)/2) to evaluate the Radius at Middle of Barrel, Radius at Middle of Barrel formula is defined as the straight line connecting a point on the center of the line passing which divides the Barrel into two equal parts equally and a point on its curvature part. Radius at Middle of Barrel is denoted by r_Middle symbol.

How to evaluate Radius at Middle of Barrel using this online evaluator? To use this online evaluator for Radius at Middle of Barrel, enter Volume of Barrel (V), Height of Barrel (h) & Radius at Top and Bottom of Barrel (r_Top/Bottom) and hit the calculate button.

FAQs on Radius at Middle of Barrel

What is the formula to find Radius at Middle of Barrel?

The formula of Radius at Middle of Barrel is expressed as Radius at Middle of Barrel = sqrt(((3*Volume of Barrel)/(pi*Height of Barrel)-Radius at Top and Bottom of Barrel^2)/2). Here is an example- 10.0051 = sqrt(((3*2830)/(pi*12)-5^2)/2).

How to calculate Radius at Middle of Barrel?

With Volume of Barrel (V), Height of Barrel (h) & Radius at Top and Bottom of Barrel (r_Top/Bottom) we can find Radius at Middle of Barrel using the formula - Radius at Middle of Barrel = sqrt(((3*Volume of Barrel)/(pi*Height of Barrel)-Radius at Top and Bottom of Barrel^2)/2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Radius at Middle of Barrel be negative?

No, the Radius at Middle of Barrel, measured in Length cannot be negative.

Which unit is used to measure Radius at Middle of Barrel?

Radius at Middle of Barrel is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius at Middle of Barrel can be measured.

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Radius at Middle of Barrel Formula

Radius at Middle of Barrel Example

Radius at Middle of Barrel Solution

Radius at Middle of Barrel Formula Elements

Other formulas in Radius of Barrel category

How to Evaluate Radius at Middle of Barrel?

FAQs on Radius at Middle of Barrel

Variable Name