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Volume of Torus Sector given Lateral Surface Area Formula

GoVolume of Torus Sector Formula

GoVolume of Torus Sector given Lateral Surface Area and Total Surface Area Formula

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

V Sector = \frac{r Circular Section \cdot LSA Sector}{2}

V_Sector - Volume of Torus Sector?r_{Circular Section} - Radius of Circular Section of Torus?LSA_Sector - Lateral Surface Area of Torus Sector?

Volume of Torus Sector given Lateral Surface Area Example

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Here is how the Volume of Torus Sector given Lateral Surface Area equation looks like with Values.

Here is how the Volume of Torus Sector given Lateral Surface Area equation looks like with Units.

Here is how the Volume of Torus Sector given Lateral Surface Area equation looks like.

1040 = \frac{8 \cdot 260}{2}

1040m³ = \frac{8m \cdot 260m²}{2}

1040 = \frac{8 \cdot 260}{2}

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Volume of Torus Sector given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Volume of Torus Sector given Lateral Surface Area?

FIRST Step Consider the formula

V Sector = \frac{r Circular Section \cdot LSA Sector}{2}

Next Step Substitute values of Variables

∴

V Sector = \frac{8m \cdot 260m²}{2}

Next Step Prepare to Evaluate

∴

V Sector = \frac{8 \cdot 260}{2}

LAST Step Evaluate

∴

V Sector = 1040m³

Volume of Torus Sector given Lateral Surface Area Formula Elements

Variables

Volume of Torus Sector

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

Symbol: V_Sector

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Torus Sector

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

Lateral Surface Area of Torus Sector

Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector.

Symbol: LSA_Sector

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Torus Sector

Other Formulas to find Volume of Torus Sector

Go Volume of Torus Sector

V Sector = (2 \cdot (π^{2}) \cdot (r) \cdot ({r Circular Section}^{2}) \cdot (\frac{∠ Intersection}{2 \cdot π}))

Go Volume of Torus Sector given Lateral Surface Area and Total Surface Area

V Sector = (2 \cdot (π^{2}) \cdot (r) \cdot (\frac{TSA Sector - LSA Sector}{2 \cdot π}) \cdot (\frac{∠ Intersection}{2 \cdot π}))

Other formulas in Volume of Torus Sector category

Go Lateral Surface Area of Torus Sector

LSA Sector = (4 \cdot (π^{2}) \cdot (r) \cdot (r Circular Section) \cdot (\frac{∠ Intersection}{2 \cdot π}))

Go Lateral Surface Area of Torus Sector given Volume

LSA Sector = 2 \cdot (\frac{V Sector}{r Circular Section})

Go Total Surface Area of Torus Sector

TSA Sector = (LSA Sector + (2 \cdot π \cdot ({r Circular Section}^{2})))

Go Total Surface Area of Torus Sector given Lateral Surface Area and Radius

TSA Sector = (LSA Sector + (2 \cdot π \cdot ({(\frac{LSA Sector}{4 \cdot (π^{2}) \cdot (r) \cdot (\frac{∠ Intersection}{2 \cdot π})})}^{2})))

How to Evaluate Volume of Torus Sector given Lateral Surface Area?

Volume of Torus Sector given Lateral Surface Area evaluator uses Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2 to evaluate the Volume of Torus Sector, Volume of Torus Sector given Lateral Surface Area formula is defined as the amount of the three-dimensional space covered by Torus Sector, calculated using lateral surface area of Torus Sector. Volume of Torus Sector is denoted by V_Sector symbol.

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

FAQs on Volume of Torus Sector given Lateral Surface Area

What is the formula to find Volume of Torus Sector given Lateral Surface Area?

The formula of Volume of Torus Sector given Lateral Surface Area is expressed as Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2. Here is an example- 1040 = (8*260)/2.

How to calculate Volume of Torus Sector given Lateral Surface Area?

With Radius of Circular Section of Torus (r_{Circular Section}) & Lateral Surface Area of Torus Sector (LSA_Sector) we can find Volume of Torus Sector given Lateral Surface Area using the formula - Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2.

What are the other ways to Calculate Volume of Torus Sector?

Here are the different ways to Calculate Volume of Torus Sector-

Volume of Torus Sector=(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi)))
Volume of Torus Sector=(2*(pi^2)*(Radius of Torus)*((Total Surface Area of Torus Sector-Lateral Surface Area of Torus Sector)/(2*pi))*(Angle of Intersection of Torus Sector/(2*pi)))

Can the Volume of Torus Sector given Lateral Surface Area be negative?

No, the Volume of Torus Sector given Lateral Surface Area, measured in Volume cannot be negative.

Which unit is used to measure Volume of Torus Sector given Lateral Surface Area?

Volume of Torus Sector given Lateral 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 Sector given Lateral Surface Area can be measured.

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Volume of Torus Sector given Lateral Surface Area Formula

​GoVolume of Torus Sector Formula

​GoVolume of Torus Sector given Lateral Surface Area and Total Surface Area Formula

Volume of Torus Sector given Lateral Surface Area Example

Volume of Torus Sector given Lateral Surface Area Solution

Volume of Torus Sector given Lateral Surface Area Formula Elements

Other Formulas to find Volume of Torus Sector

Other formulas in Volume of Torus Sector category

How to Evaluate Volume of Torus Sector given Lateral Surface Area?

FAQs on Volume of Torus Sector given Lateral Surface Area

Variable Name

GoVolume of Torus Sector Formula

GoVolume of Torus Sector given Lateral Surface Area and Total Surface Area Formula