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Radius at Top and Bottom of Barrel Formula

GoRadius at Top and Bottom of Barrel given Space Diagonal and Height Formula

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

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

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

Radius at Top and Bottom of Barrel Example

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Here is how the Radius at Top and Bottom of Barrel equation looks like with Values.

Here is how the Radius at Top and Bottom of Barrel equation looks like with Units.

Here is how the Radius at Top and Bottom of Barrel equation looks like.

5.0204 = \sqrt{\frac{3 \cdot 2830}{3.1416 \cdot 12} - (2 \cdot 10^{2})}

5.0204m = \sqrt{\frac{3 \cdot 2830m³}{3.1416 \cdot 12m} - (2 \cdot {10m}^{2})}

5.0204 = \sqrt{\frac{3 \cdot 2830}{3.1416 \cdot 12} - (2 \cdot 10^{2})}

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Radius at Top and Bottom of Barrel Solution

Follow our step by step solution on how to calculate Radius at Top and Bottom of Barrel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Top/Bottom = \sqrt{\frac{3 \cdot 2830m³}{π \cdot 12m} - (2 \cdot {10m}^{2})}

Next Step Substitute values of Constants

∴

r Top/Bottom = \sqrt{\frac{3 \cdot 2830m³}{3.1416 \cdot 12m} - (2 \cdot {10m}^{2})}

Next Step Prepare to Evaluate

∴

r Top/Bottom = \sqrt{\frac{3 \cdot 2830}{3.1416 \cdot 12} - (2 \cdot 10^{2})}

Next Step Evaluate

∴

r Top/Bottom = 5.02038290123691m

LAST Step Rounding Answer

∴

r Top/Bottom = 5.0204m

Radius at Top and Bottom of Barrel Formula Elements

Variables

Constants

Functions

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

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

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 Radius at Top and Bottom of Barrel

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

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

Other formulas in Radius of Barrel category

Go Radius at Middle of Barrel

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

How to Evaluate Radius at Top and Bottom of Barrel?

Radius at Top and Bottom of Barrel evaluator uses Radius at Top and Bottom of Barrel = sqrt((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2)) to evaluate the Radius at Top and Bottom of Barrel, Radius at Top and Bottom of Barrel formula is defined as the straight line connecting the center and a point on the circular base of the Barrel. Radius at Top and Bottom of Barrel is denoted by r_Top/Bottom symbol.

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

FAQs on Radius at Top and Bottom of Barrel

What is the formula to find Radius at Top and Bottom of Barrel?

The formula of Radius at Top and Bottom of Barrel is expressed as Radius at Top and Bottom of Barrel = sqrt((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2)). Here is an example- 5.020383 = sqrt((3*2830)/(pi*12)-(2*10^2)).

How to calculate Radius at Top and Bottom of Barrel?

With Volume of Barrel (V), Height of Barrel (h) & Radius at Middle of Barrel (r_Middle) we can find Radius at Top and Bottom of Barrel using the formula - Radius at Top and Bottom of Barrel = sqrt((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 Radius at Top and Bottom of Barrel?

Here are the different ways to Calculate Radius at Top and Bottom of Barrel-

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

Can the Radius at Top and Bottom of Barrel be negative?

No, the Radius at Top and Bottom of Barrel, measured in Length cannot be negative.

Which unit is used to measure Radius at Top and Bottom of Barrel?

Radius at Top and Bottom 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 Top and Bottom of Barrel can be measured.

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Radius at Top and Bottom of Barrel Formula

​GoRadius at Top and Bottom of Barrel given Space Diagonal and Height Formula

Radius at Top and Bottom of Barrel Example

Radius at Top and Bottom of Barrel Solution

Radius at Top and Bottom of Barrel Formula Elements

Other Formulas to find Radius at Top and Bottom of Barrel

Other formulas in Radius of Barrel category

How to Evaluate Radius at Top and Bottom of Barrel?

FAQs on Radius at Top and Bottom of Barrel

Variable Name

GoRadius at Top and Bottom of Barrel given Space Diagonal and Height Formula