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Volume of Torus given Radius of Circular Section 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 Circular Section}^{2}) \cdot (\frac{TSA}{4 \cdot π^{2} \cdot r Circular Section}))

V - Volume of Torus?r_{Circular Section} - Radius of Circular Section of Torus?TSA - Total Surface Area of Torus?π - Archimedes' constant?

Volume of Torus given Radius of Circular Section and Total Surface Area Example

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

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

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

12800 = (2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{3200}{4 \cdot {3.1416}^{2} \cdot 8}))

12800m³ = (2 \cdot ({3.1416}^{2}) \cdot ({8m}^{2}) \cdot (\frac{3200m²}{4 \cdot {3.1416}^{2} \cdot 8m}))

12800 = (2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{3200}{4 \cdot {3.1416}^{2} \cdot 8}))

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Volume of Torus given Radius of Circular Section and Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (2 \cdot (π^{2}) \cdot ({8m}^{2}) \cdot (\frac{3200m²}{4 \cdot π^{2} \cdot 8m}))

Next Step Substitute values of Constants

∴

V = (2 \cdot ({3.1416}^{2}) \cdot ({8m}^{2}) \cdot (\frac{3200m²}{4 \cdot {3.1416}^{2} \cdot 8m}))

Next Step Prepare to Evaluate

∴

V = (2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{3200}{4 \cdot {3.1416}^{2} \cdot 8}))

LAST Step Evaluate

∴

V = 12800m³

Volume of Torus given Radius of Circular Section 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 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

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 of Circular Section and Total Surface Area?

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

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

FAQs on Volume of Torus given Radius of Circular Section and Total Surface Area

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

The formula of Volume of Torus given Radius of Circular Section and Total Surface Area is expressed as Volume of Torus = (2*(pi^2)*(Radius of Circular Section of Torus^2)*(Total Surface Area of Torus/(4*pi^2*Radius of Circular Section of Torus))). Here is an example- 12800 = (2*(pi^2)*(8^2)*(3200/(4*pi^2*8))).

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

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

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

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

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

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Volume of Torus given Radius of Circular Section 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 of Circular Section and Total Surface Area Example

Volume of Torus given Radius of Circular Section and Total Surface Area Solution

Volume of Torus given Radius of Circular Section and Total Surface Area Formula Elements

Other Formulas to find Volume of Torus

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

FAQs on Volume of Torus given Radius of Circular Section and Total Surface Area

Variable Name

GoVolume of Torus Formula

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