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Volume of Toroid given Surface to Volume Ratio Formula

GoVolume of Toroid Formula

GoVolume of Toroid given Total Surface Area Formula

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

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

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

Volume of Toroid given Surface to Volume Ratio Example

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

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

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

3141.5927 = (2 \cdot 3.1416 \cdot 10) \cdot (\frac{30}{0.6})

3141.5927m³ = (2 \cdot 3.1416 \cdot 10m) \cdot (\frac{30m}{0.6m⁻¹})

3141.5927 = (2 \cdot 3.1416 \cdot 10) \cdot (\frac{30}{0.6})

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Volume of Toroid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (2 \cdot π \cdot 10m) \cdot (\frac{30m}{0.6m⁻¹})

Next Step Substitute values of Constants

∴

V = (2 \cdot 3.1416 \cdot 10m) \cdot (\frac{30m}{0.6m⁻¹})

Next Step Prepare to Evaluate

∴

V = (2 \cdot 3.1416 \cdot 10) \cdot (\frac{30}{0.6})

Next Step Evaluate

∴

V = 3141.59265358979m³

LAST Step Rounding Answer

∴

V = 3141.5927m³

Volume of Toroid given Surface to Volume Ratio Formula Elements

Variables

Constants

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

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

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 Volume of Toroid

Go Volume of Toroid

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

Go Volume of Toroid given Total Surface Area

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

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

Volume of Toroid given Surface to Volume Ratio evaluator uses Volume of Toroid = (2*pi*Radius of Toroid)*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid) to evaluate the Volume of Toroid, Volume of Toroid given Surface to Volume Ratio formula is defined as amount of three dimensional space covered by Toroid, calculated using surface to volume ratio of Toroid. Volume of Toroid is denoted by V symbol.

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

FAQs on Volume of Toroid given Surface to Volume Ratio

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

The formula of Volume of Toroid given Surface to Volume Ratio is expressed as Volume of Toroid = (2*pi*Radius of Toroid)*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid). Here is an example- 3141.593 = (2*pi*10)*(30/0.6).

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

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

What are the other ways to Calculate Volume of Toroid?

Here are the different ways to Calculate Volume of Toroid-

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

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

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

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

Volume of Toroid given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Toroid given Surface to Volume Ratio can be measured.

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Volume of Toroid given Surface to Volume Ratio Formula

​GoVolume of Toroid Formula

​GoVolume of Toroid given Total Surface Area Formula

Volume of Toroid given Surface to Volume Ratio Example

Volume of Toroid given Surface to Volume Ratio Solution

Volume of Toroid given Surface to Volume Ratio Formula Elements

Other Formulas to find Volume of Toroid

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

FAQs on Volume of Toroid given Surface to Volume Ratio

Variable Name

GoVolume of Toroid Formula

GoVolume of Toroid given Total Surface Area Formula