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Volume of Torus given Radius and Total Surface Area 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{TSA}{4 \cdot (π^{2}) \cdot r})}^{2}))

V - Volume of Torus?r - Radius of Torus?TSA - Total Surface Area of Torus?π - Archimedes' constant?

Volume of Torus given Radius and Total Surface Area Example

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

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

Here is how the Volume of Torus given Radius and Total Surface Area equation looks like.

12969.1115 = (2 \cdot ({3.1416}^{2}) \cdot (10) \cdot ({(\frac{3200}{4 \cdot ({3.1416}^{2}) \cdot 10})}^{2}))

12969.1115m³ = (2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot ({(\frac{3200m²}{4 \cdot ({3.1416}^{2}) \cdot 10m})}^{2}))

12969.1115 = (2 \cdot ({3.1416}^{2}) \cdot (10) \cdot ({(\frac{3200}{4 \cdot ({3.1416}^{2}) \cdot 10})}^{2}))

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Volume of Torus given Radius and Total Surface Area Solution

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

FIRST Step Consider the formula

V = (2 \cdot (π^{2}) \cdot (r) \cdot ({(\frac{TSA}{4 \cdot (π^{2}) \cdot r})}^{2}))

Next Step Substitute values of Variables

∴

V = (2 \cdot (π^{2}) \cdot (10m) \cdot ({(\frac{3200m²}{4 \cdot (π^{2}) \cdot 10m})}^{2}))

Next Step Substitute values of Constants

∴

V = (2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot ({(\frac{3200m²}{4 \cdot ({3.1416}^{2}) \cdot 10m})}^{2}))

Next Step Prepare to Evaluate

∴

V = (2 \cdot ({3.1416}^{2}) \cdot (10) \cdot ({(\frac{3200}{4 \cdot ({3.1416}^{2}) \cdot 10})}^{2}))

Next Step Evaluate

∴

V = 12969.1115062192m³

LAST Step Rounding Answer

∴

V = 12969.1115m³

Volume of Torus given Radius and Total Surface Area 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

Total Surface Area of Torus

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Total Surface Area?

Volume of Torus given Radius and Total Surface Area evaluator uses Volume of Torus = (2*(pi^2)*(Radius of Torus)*((Total Surface Area of Torus/(4*(pi^2)*Radius of Torus))^2)) to evaluate the Volume of Torus, The Volume of Torus given Radius and Total Surface Area formula is defined as the amount of three-dimensional space occupied by the Torus, calculated using the radius and total surface area of Torus. Volume of Torus is denoted by V symbol.

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

FAQs on Volume of Torus given Radius and Total Surface Area

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

The formula of Volume of Torus given Radius and Total Surface Area is expressed as Volume of Torus = (2*(pi^2)*(Radius of Torus)*((Total Surface Area of Torus/(4*(pi^2)*Radius of Torus))^2)). Here is an example- 12969.11 = (2*(pi^2)*(10)*((3200/(4*(pi^2)*10))^2)).

How to calculate Volume of Torus given Radius and Total Surface Area?

With Radius of Torus (r) & Total Surface Area of Torus (TSA) we can find Volume of Torus given Radius and Total Surface Area using the formula - Volume of Torus = (2*(pi^2)*(Radius of Torus)*((Total Surface Area of Torus/(4*(pi^2)*Radius 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 Total Surface Area be negative?

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

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

Volume of Torus given Radius and 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 Torus given Radius and Total Surface Area can be measured.

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Volume of Torus given Radius and Total Surface Area Formula

​GoVolume of Torus Formula

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

Volume of Torus given Radius and Total Surface Area Example

Volume of Torus given Radius and Total Surface Area Solution

Volume of Torus given Radius and Total Surface Area Formula Elements

Other Formulas to find Volume of Torus

How to Evaluate Volume of Torus given Radius and Total Surface Area?

FAQs on Volume of Torus given Radius and Total Surface Area

Variable Name

GoVolume of Torus Formula

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