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Volume of Torus given Radius and Surface to Volume Ratio Formula

GoVolume of Torus Formula

GoVolume of Torus given Radius of Circular Section 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 ({(\frac{2}{R A/V})}^{2}))

V - Volume of Torus?r - Radius of Torus?R_A/V - Surface to Volume Ratio of Torus?π - Archimedes' constant?

Volume of Torus given Radius and Surface to Volume Ratio Example

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

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

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

12633.0936 = (2 \cdot ({3.1416}^{2}) \cdot (10) \cdot ({(\frac{2}{0.25})}^{2}))

12633.0936m³ = (2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot ({(\frac{2}{0.25m⁻¹})}^{2}))

12633.0936 = (2 \cdot ({3.1416}^{2}) \cdot (10) \cdot ({(\frac{2}{0.25})}^{2}))

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Volume of Torus given Radius and Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = (2 \cdot (π^{2}) \cdot (r) \cdot ({(\frac{2}{R A/V})}^{2}))

Next Step Substitute values of Variables

∴

V = (2 \cdot (π^{2}) \cdot (10m) \cdot ({(\frac{2}{0.25m⁻¹})}^{2}))

Next Step Substitute values of Constants

∴

V = (2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot ({(\frac{2}{0.25m⁻¹})}^{2}))

Next Step Prepare to Evaluate

∴

V = (2 \cdot ({3.1416}^{2}) \cdot (10) \cdot ({(\frac{2}{0.25})}^{2}))

Next Step Evaluate

∴

V = 12633.0936333944m³

LAST Step Rounding Answer

∴

V = 12633.0936m³

Volume of Torus given Radius and Surface to Volume Ratio 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

Surface to Volume Ratio of Torus

Surface to Volume Ratio of Torus is the numerical ratio of the total surface area of Torus to the volume of the Torus.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 of Circular Section and Hole Radius

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

Go Volume of Torus given Radius of Circular Section and Breadth

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

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 and Surface to Volume Ratio?

Volume of Torus given Radius and Surface to Volume Ratio evaluator uses Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio of Torus)^2)) to evaluate the Volume of Torus, Volume of Torus given Radius and Surface to Volume Ratio formula is defined as the amount of three-dimensional space occupied by the Torus, calculated using radius and surface to volume ratio of Torus. Volume of Torus is denoted by V symbol.

How to evaluate Volume of Torus given Radius and Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Torus given Radius and Surface to Volume Ratio, enter Radius of Torus (r) & Surface to Volume Ratio of Torus (R_A/V) and hit the calculate button.

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

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

The formula of Volume of Torus given Radius and Surface to Volume Ratio is expressed as Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio of Torus)^2)). Here is an example- 12633.09 = (2*(pi^2)*(10)*((2/0.25)^2)).

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

With Radius of Torus (r) & Surface to Volume Ratio of Torus (R_A/V) we can find Volume of Torus given Radius and Surface to Volume Ratio using the formula - Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio 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*(Radius of Circular Section 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))
Volume of Torus=(2*(pi^2)*(Radius of Circular Section of Torus^2)*((Breadth of Torus/2)-Radius of Circular Section of Torus))

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

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

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

Volume of Torus given Radius and 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 Torus given Radius and Surface to Volume Ratio can be measured.

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Volume of Torus given Radius and Surface to Volume Ratio Formula

​GoVolume of Torus Formula

​GoVolume of Torus given Radius of Circular Section and Hole Radius Formula

Volume of Torus given Radius and Surface to Volume Ratio Example

Volume of Torus given Radius and Surface to Volume Ratio Solution

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

Other Formulas to find Volume of Torus

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

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

Variable Name

GoVolume of Torus Formula

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