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Radius of Toroid given Surface to Volume Ratio and Volume Formula

GoRadius of Toroid Formula

GoRadius of Toroid given Volume Formula

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Radius of Toroid is the line connecting the center of the overall Toroid to the center of a cross-section of the Toroid. Check FAQs

r = (\frac{V}{2 \cdot π \cdot (\frac{P Cross Section}{R A/V})})

r - Radius of Toroid?V - Volume of Toroid?P_{Cross Section} - Cross Sectional Perimeter of Toroid?R_A/V - Surface to Volume Ratio of Toroid?π - Archimedes' constant?

Radius of Toroid given Surface to Volume Ratio and Volume Example

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Here is how the Radius of Toroid given Surface to Volume Ratio and Volume equation looks like with Values.

Here is how the Radius of Toroid given Surface to Volume Ratio and Volume equation looks like with Units.

Here is how the Radius of Toroid given Surface to Volume Ratio and Volume equation looks like.

10.0268 = (\frac{3150}{2 \cdot 3.1416 \cdot (\frac{30}{0.6})})

10.0268m = (\frac{3150m³}{2 \cdot 3.1416 \cdot (\frac{30m}{0.6m⁻¹})})

10.0268 = (\frac{3150}{2 \cdot 3.1416 \cdot (\frac{30}{0.6})})

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Radius of Toroid given Surface to Volume Ratio and Volume Solution

Follow our step by step solution on how to calculate Radius of Toroid given Surface to Volume Ratio and Volume?

FIRST Step Consider the formula

r = (\frac{V}{2 \cdot π \cdot (\frac{P Cross Section}{R A/V})})

Next Step Substitute values of Variables

∴

r = (\frac{3150m³}{2 \cdot π \cdot (\frac{30m}{0.6m⁻¹})})

Next Step Substitute values of Constants

∴

r = (\frac{3150m³}{2 \cdot 3.1416 \cdot (\frac{30m}{0.6m⁻¹})})

Next Step Prepare to Evaluate

∴

r = (\frac{3150}{2 \cdot 3.1416 \cdot (\frac{30}{0.6})})

Next Step Evaluate

∴

r = 10.0267614147894m

LAST Step Rounding Answer

∴

r = 10.0268m

Radius of Toroid given Surface to Volume Ratio and Volume Formula Elements

Variables

Constants

Radius of Toroid

Radius of Toroid is the line connecting the center of the overall Toroid to the center of a cross-section of the Toroid.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Toroid

Volume of Toroid

Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Toroid

Cross Sectional Perimeter of Toroid

Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid.

Symbol: P_{Cross Section}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cross Sectional Perimeter of Toroid

Surface to Volume Ratio of Toroid

Surface to Volume Ratio of Toroid is defined as the numerical ratio of the total surface area of a Toroid to the volume of the Toroid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Toroid

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 Radius of Toroid

Go Radius of Toroid

r = (\frac{TSA}{2 \cdot π \cdot P Cross Section})

Go Radius of Toroid given Volume

r = (\frac{V}{2 \cdot π \cdot A Cross Section})

Go Radius of Toroid given Surface to Volume Ratio and Total Surface Area

r = (\frac{TSA}{2 \cdot π \cdot A Cross Section \cdot R A/V})

How to Evaluate Radius of Toroid given Surface to Volume Ratio and Volume?

Radius of Toroid given Surface to Volume Ratio and Volume evaluator uses Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid))) to evaluate the Radius of Toroid, Radius of Toroid given Surface to Volume Ratio and Volume formula is defined as the line connecting the center of overall Toroid to the center of cross section of Toroid, calculated using surface to volume ratio and volume of Toroid. Radius of Toroid is denoted by r symbol.

How to evaluate Radius of Toroid given Surface to Volume Ratio and Volume using this online evaluator? To use this online evaluator for Radius of Toroid given Surface to Volume Ratio and Volume, enter Volume of Toroid (V), Cross Sectional Perimeter of Toroid (P_{Cross Section}) & Surface to Volume Ratio of Toroid (R_A/V) and hit the calculate button.

FAQs on Radius of Toroid given Surface to Volume Ratio and Volume

What is the formula to find Radius of Toroid given Surface to Volume Ratio and Volume?

The formula of Radius of Toroid given Surface to Volume Ratio and Volume is expressed as Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid))). Here is an example- 10.02676 = (3150/(2*pi*(30/0.6))).

How to calculate Radius of Toroid given Surface to Volume Ratio and Volume?

With Volume of Toroid (V), Cross Sectional Perimeter of Toroid (P_{Cross Section}) & Surface to Volume Ratio of Toroid (R_A/V) we can find Radius of Toroid given Surface to Volume Ratio and Volume using the formula - Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Radius of Toroid?

Here are the different ways to Calculate Radius of Toroid-

Radius of Toroid=(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid))
Radius of Toroid=(Volume of Toroid/(2*pi*Cross Sectional Area of Toroid))
Radius of Toroid=(Total Surface Area of Toroid/(2*pi*Cross Sectional Area of Toroid*Surface to Volume Ratio of Toroid))

Can the Radius of Toroid given Surface to Volume Ratio and Volume be negative?

No, the Radius of Toroid given Surface to Volume Ratio and Volume, measured in Length cannot be negative.

Which unit is used to measure Radius of Toroid given Surface to Volume Ratio and Volume?

Radius of Toroid given Surface to Volume Ratio and Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Toroid given Surface to Volume Ratio and Volume can be measured.

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Radius of Toroid given Surface to Volume Ratio and Volume Formula

​GoRadius of Toroid Formula

​GoRadius of Toroid given Volume Formula

Radius of Toroid given Surface to Volume Ratio and Volume Example

Radius of Toroid given Surface to Volume Ratio and Volume Solution

Radius of Toroid given Surface to Volume Ratio and Volume Formula Elements

Other Formulas to find Radius of Toroid

How to Evaluate Radius of Toroid given Surface to Volume Ratio and Volume?

FAQs on Radius of Toroid given Surface to Volume Ratio and Volume

Variable Name

GoRadius of Toroid Formula

GoRadius of Toroid given Volume Formula