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

GoRadius at Top and Bottom of Barrel 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{{d Space}^{2} - h^{2}}{4}}

r_Top/Bottom - Radius at Top and Bottom of Barrel?d_Space - Space Diagonal of Barrel?h - Height of Barrel?

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

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

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

Here is how the Radius at Top and Bottom of Barrel given Space Diagonal and Height equation looks like.

5.2915 = \sqrt{\frac{16^{2} - 12^{2}}{4}}

5.2915m = \sqrt{\frac{{16m}^{2} - {12m}^{2}}{4}}

5.2915 = \sqrt{\frac{16^{2} - 12^{2}}{4}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Top/Bottom = \sqrt{\frac{{16m}^{2} - {12m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

r Top/Bottom = \sqrt{\frac{16^{2} - 12^{2}}{4}}

Next Step Evaluate

∴

r Top/Bottom = 5.29150262212918m

LAST Step Rounding Answer

∴

r Top/Bottom = 5.2915m

Radius at Top and Bottom of Barrel given Space Diagonal and Height Formula Elements

Variables

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

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

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

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

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 given Space Diagonal and Height?

Radius at Top and Bottom of Barrel given Space Diagonal and Height evaluator uses Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4) to evaluate the Radius at Top and Bottom of Barrel, Radius at Top and Bottom of Barrel given Space Diagonal and Height formula is defined as the straight line connecting the center and any point on the circular base of the Barrel, calculated using the space diagonal and height 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 given Space Diagonal and Height using this online evaluator? To use this online evaluator for Radius at Top and Bottom of Barrel given Space Diagonal and Height, enter Space Diagonal of Barrel (d_Space) & Height of Barrel (h) and hit the calculate button.

FAQs on Radius at Top and Bottom of Barrel given Space Diagonal and Height

What is the formula to find Radius at Top and Bottom of Barrel given Space Diagonal and Height?

The formula of Radius at Top and Bottom of Barrel given Space Diagonal and Height is expressed as Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4). Here is an example- 5.291503 = sqrt((16^2-12^2)/4).

How to calculate Radius at Top and Bottom of Barrel given Space Diagonal and Height?

With Space Diagonal of Barrel (d_Space) & Height of Barrel (h) we can find Radius at Top and Bottom of Barrel given Space Diagonal and Height using the formula - Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4). This formula also uses 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((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2))

Can the Radius at Top and Bottom of Barrel given Space Diagonal and Height be negative?

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

Which unit is used to measure Radius at Top and Bottom of Barrel given Space Diagonal and Height?

Radius at Top and Bottom of Barrel given Space Diagonal and Height 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 given Space Diagonal and Height can be measured.

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

​GoRadius at Top and Bottom of Barrel Formula

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

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

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

FAQs on Radius at Top and Bottom of Barrel given Space Diagonal and Height

Variable Name

GoRadius at Top and Bottom of Barrel Formula