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

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GoVolume of Torus given Radius and Breadth 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 Circular Section}^{2}) \cdot (r Hole + r Circular Section))

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

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

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Here is how the Volume of Torus given Radius of Circular Section and Hole Radius equation looks like with Values.

Here is how the Volume of Torus given Radius of Circular Section and Hole Radius equation looks like with Units.

Here is how the Volume of Torus given Radius of Circular Section and Hole Radius equation looks like.

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

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

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

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

Follow our step by step solution on how to calculate Volume of Torus given Radius of Circular Section and Hole Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 12633.0936333944m³

LAST Step Rounding Answer

∴

V = 12633.0936m³

Volume of Torus given Radius of Circular Section and Hole Radius 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 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

Hole Radius of Torus

Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus.

Symbol: r_Hole

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hole Radius 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

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

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}))

How to Evaluate Volume of Torus given Radius of Circular Section and Hole Radius?

Volume of Torus given Radius of Circular Section and Hole Radius evaluator uses Volume of Torus = (2*(pi^2)*(Radius of Circular Section of Torus^2)*(Hole Radius of Torus+Radius of Circular Section of Torus)) to evaluate the Volume of Torus, Volume of Torus given Radius of Circular Section and Hole Radius formula is defined as the amount of three-dimensional space occupied by the Torus, calculated using radius of circular section and hole radius of Torus. Volume of Torus is denoted by V symbol.

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

FAQs on Volume of Torus given Radius of Circular Section and Hole Radius

What is the formula to find Volume of Torus given Radius of Circular Section and Hole Radius?

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

How to calculate Volume of Torus given Radius of Circular Section and Hole Radius?

With Radius of Circular Section of Torus (r_{Circular Section}) & Hole Radius of Torus (r_Hole) we can find Volume of Torus given Radius of Circular Section and Hole Radius using the formula - Volume of Torus = (2*(pi^2)*(Radius of Circular Section of Torus^2)*(Hole Radius of Torus+Radius of Circular Section of Torus)). 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*(Radius of Circular Section of Torus^2)
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))

Can the Volume of Torus given Radius of Circular Section and Hole Radius be negative?

No, the Volume of Torus given Radius of Circular Section and Hole Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Torus given Radius of Circular Section and Hole Radius?

Volume of Torus given Radius of Circular Section and Hole Radius 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 given Radius of Circular Section and Hole Radius can be measured.

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

​GoVolume of Torus Formula

​GoVolume of Torus given Radius and Breadth Formula

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

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

Volume of Torus given Radius of Circular Section and Hole Radius Formula Elements

Other Formulas to find Volume of Torus

How to Evaluate Volume of Torus given Radius of Circular Section and Hole Radius?

FAQs on Volume of Torus given Radius of Circular Section and Hole Radius

Variable Name

GoVolume of Torus Formula

GoVolume of Torus given Radius and Breadth Formula