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

V - Volume of Toroid?A_{Cross Section} - Cross Sectional Area of Toroid?TSA - Total Surface Area of Toroid?P_{Cross Section} - Cross Sectional Perimeter of Toroid?π - Archimedes' constant?

Volume of Toroid given Total Surface Area Example

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Here is how the Volume of Toroid given Total Surface Area equation looks like with Values.

Here is how the Volume of Toroid given Total Surface Area equation looks like with Units.

Here is how the Volume of Toroid given Total Surface Area equation looks like.

3166.6667 = (2 \cdot 3.1416 \cdot 50) \cdot (\frac{1900}{2 \cdot 3.1416 \cdot 30})

3166.6667m³ = (2 \cdot 3.1416 \cdot 50m²) \cdot (\frac{1900m²}{2 \cdot 3.1416 \cdot 30m})

3166.6667 = (2 \cdot 3.1416 \cdot 50) \cdot (\frac{1900}{2 \cdot 3.1416 \cdot 30})

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Volume of Toroid given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (2 \cdot π \cdot 50m²) \cdot (\frac{1900m²}{2 \cdot π \cdot 30m})

Next Step Substitute values of Constants

∴

V = (2 \cdot 3.1416 \cdot 50m²) \cdot (\frac{1900m²}{2 \cdot 3.1416 \cdot 30m})

Next Step Prepare to Evaluate

∴

V = (2 \cdot 3.1416 \cdot 50) \cdot (\frac{1900}{2 \cdot 3.1416 \cdot 30})

Next Step Evaluate

∴

V = 3166.66666666667m³

LAST Step Rounding Answer

∴

V = 3166.6667m³

Volume of Toroid given Total Surface Area 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

Cross Sectional Area of Toroid

Cross Sectional Area of Toroid is the amount of two-dimensional space occupied by the cross-section of the Toroid.

Symbol: A_{Cross Section}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Toroid

Total Surface Area of Toroid

Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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)

How to Evaluate Volume of Toroid given Total Surface Area?

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

How to evaluate Volume of Toroid given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Toroid given Total Surface Area, enter Cross Sectional Area of Toroid (A_{Cross Section}), Total Surface Area of Toroid (TSA) & Cross Sectional Perimeter of Toroid (P_{Cross Section}) and hit the calculate button.

FAQs on Volume of Toroid given Total Surface Area

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

The formula of Volume of Toroid given Total Surface Area is expressed as Volume of Toroid = (2*pi*Cross Sectional Area of Toroid)*(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid)). Here is an example- 3166.667 = (2*pi*50)*(1900/(2*pi*30)).

How to calculate Volume of Toroid given Total Surface Area?

With Cross Sectional Area of Toroid (A_{Cross Section}), Total Surface Area of Toroid (TSA) & Cross Sectional Perimeter of Toroid (P_{Cross Section}) we can find Volume of Toroid given Total Surface Area using the formula - Volume of Toroid = (2*pi*Cross Sectional Area of Toroid)*(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter 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)

Can the Volume of Toroid given Total Surface Area be negative?

No, the Volume of Toroid given Total Surface Area, measured in Volume cannot be negative.

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

Volume of Toroid given Total Surface Area 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 Total Surface Area can be measured.

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Volume of Toroid given Total Surface Area Formula

​GoVolume of Toroid Formula

Volume of Toroid given Total Surface Area Example

Volume of Toroid given Total Surface Area Solution

Volume of Toroid given Total Surface Area Formula Elements

Other Formulas to find Volume of Toroid

How to Evaluate Volume of Toroid given Total Surface Area?

FAQs on Volume of Toroid given Total Surface Area

Variable Name

GoVolume of Toroid Formula