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Volume of Torus Formula

GoVolume of Torus given Radius and Breadth Formula

GoVolume of Torus given Radius and Hole Radius Formula

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Volume of Torus is the amount of three dimensional space occupied by Torus. Check FAQs

V = 2 \cdot (π^{2}) \cdot r \cdot ({r Circular Section}^{2})

V - Volume of Torus?r - Radius of Torus?r_{Circular Section} - Radius of Circular Section of Torus?π - Archimedes' constant?

Volume of Torus Example

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Here is how the Volume of Torus equation looks like with Values.

Here is how the Volume of Torus equation looks like with Units.

Here is how the Volume of Torus equation looks like.

12633.0936 = 2 \cdot ({3.1416}^{2}) \cdot 10 \cdot (8^{2})

12633.0936m³ = 2 \cdot ({3.1416}^{2}) \cdot 10m \cdot ({8m}^{2})

12633.0936 = 2 \cdot ({3.1416}^{2}) \cdot 10 \cdot (8^{2})

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Volume of Torus Solution

Follow our step by step solution on how to calculate Volume of Torus?

FIRST Step Consider the formula

V = 2 \cdot (π^{2}) \cdot r \cdot ({r Circular Section}^{2})

Next Step Substitute values of Variables

∴

V = 2 \cdot (π^{2}) \cdot 10m \cdot ({8m}^{2})

Next Step Substitute values of Constants

∴

V = 2 \cdot ({3.1416}^{2}) \cdot 10m \cdot ({8m}^{2})

Next Step Prepare to Evaluate

∴

V = 2 \cdot ({3.1416}^{2}) \cdot 10 \cdot (8^{2})

Next Step Evaluate

∴

V = 12633.0936333944m³

LAST Step Rounding Answer

∴

V = 12633.0936m³

Volume of Torus Formula Elements

Variables

Constants

Volume of Torus

Volume of Torus is the amount of three dimensional space occupied by Torus.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Torus

Radius of Torus

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

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Torus

Radius of Circular Section of Torus

Radius of Circular Section of Torus is the line connecting the center of the circular cross section to any point on the circumference of the circular cross section of the Torus.

Symbol: r_{Circular Section}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Section of Torus

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 Torus

Go Volume of Torus given Radius and Breadth

V = (2 \cdot (π^{2}) \cdot (r) \cdot ({((\frac{b}{2}) - r)}^{2}))

Go Volume of Torus given Radius and Hole Radius

V = (2 \cdot (π^{2}) \cdot (r) \cdot ({(r - r Hole)}^{2}))

Go Volume of Torus given Radius of Circular Section and Hole Radius

V = (2 \cdot (π^{2}) \cdot ({r Circular Section}^{2}) \cdot (r Hole + r Circular Section))

How to Evaluate Volume of Torus?

Volume of Torus evaluator uses Volume of Torus = 2*(pi^2)*Radius of Torus*(Radius of Circular Section of Torus^2) to evaluate the Volume of Torus, The Volume of Torus formula is defined as the amount of three dimensional space occupied by Torus. Volume of Torus is denoted by V symbol.

How to evaluate Volume of Torus using this online evaluator? To use this online evaluator for Volume of Torus, enter Radius of Torus (r) & Radius of Circular Section of Torus (r_{Circular Section}) and hit the calculate button.

FAQs on Volume of Torus

What is the formula to find Volume of Torus?

The formula of Volume of Torus is expressed as Volume of Torus = 2*(pi^2)*Radius of Torus*(Radius of Circular Section of Torus^2). Here is an example- 12633.09 = 2*(pi^2)*10*(8^2).

How to calculate Volume of Torus?

With Radius of Torus (r) & Radius of Circular Section of Torus (r_{Circular Section}) we can find Volume of Torus using the formula - Volume of Torus = 2*(pi^2)*Radius of Torus*(Radius of Circular Section of Torus^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Torus?

Here are the different ways to Calculate Volume of Torus-

Volume of Torus=(2*(pi^2)*(Radius of Torus)*(((Breadth of Torus/2)-Radius of Torus)^2))
Volume of Torus=(2*(pi^2)*(Radius of Torus)*((Radius of Torus-Hole Radius of Torus)^2))
Volume of Torus=(2*(pi^2)*(Radius of Circular Section of Torus^2)*(Hole Radius of Torus+Radius of Circular Section of Torus))

Can the Volume of Torus be negative?

No, the Volume of Torus, measured in Volume cannot be negative.

Which unit is used to measure Volume of Torus?

Volume of Torus 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 Torus can be measured.

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Volume of Torus Formula

​GoVolume of Torus given Radius and Breadth Formula

​GoVolume of Torus given Radius and Hole Radius Formula

Volume of Torus Example

Volume of Torus Solution

Volume of Torus Formula Elements

Other Formulas to find Volume of Torus

How to Evaluate Volume of Torus?

FAQs on Volume of Torus

Variable Name

GoVolume of Torus given Radius and Breadth Formula

GoVolume of Torus given Radius and Hole Radius Formula