Volume of Torus Sector given Lateral Surface Area Calculator

✖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.ⓘ Radius of Circular Section of Torus [r_{Circular Section}]			+10% -10%
✖Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector.ⓘ Lateral Surface Area of Torus Sector [LSA_Sector]			+10% -10%

✖Volume of Torus Sector is the amount of three dimensional space occupied by Torus Sector.ⓘ Volume of Torus Sector given Lateral Surface Area [V_Sector]

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Formula

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Volume of Torus Sector given Lateral Surface Area

Formula

`"V"_{"Sector"} = ("r"_{"Circular Section"}*"LSA"_{"Sector"})/2`

Example

`"1040m³"=("8m"*"260m²")/2`

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Volume of Torus Sector given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2
V_Sector = (r_{Circular Section}*LSA_Sector)/2
This formula uses 3 Variables

Variables Used

Volume of Torus Sector - (Measured in Cubic Meter) - Volume of Torus Sector is the amount of three dimensional space occupied by Torus Sector.
Radius of Circular Section of Torus - (Measured in Meter) - 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.
Lateral Surface Area of Torus Sector - (Measured in Square Meter) - Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Section of Torus: 8 Meter --> 8 Meter No Conversion Required
Lateral Surface Area of Torus Sector: 260 Square Meter --> 260 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_Sector = (r_{Circular Section}*LSA_Sector)/2 --> (8*260)/2

Evaluating ... ...

V_Sector = 1040

STEP 3: Convert Result to Output's Unit

1040 Cubic Meter --> No Conversion Required

FINAL ANSWER

1040 Cubic Meter <-- Volume of Torus Sector

(Calculation completed in 00.004 seconds)

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< 5 Volume of Torus Sector Calculators

Volume of Torus Sector given Minor Radius, Lateral Surface Area, and Angle of Intersection

Go Volume of Torus Sector = (2*(pi^2)*(Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi)))

Volume of Torus Sector given Lateral Surface Area and Radius

Go Volume of Torus Sector = (2*(pi^2)*(Radius of Torus)*((Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))^2)*(Angle of Intersection of Torus Sector/(2*pi)))

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

Go 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)))

Volume of Torus Sector

Go 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 given Lateral Surface Area

Go Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2

< 9 Torus Sector Calculators

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

Go Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*((Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))^2)))

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

Go 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)))

Radius of Circular Section of Torus given Volume of Torus Sector

Go Radius of Circular Section of Torus = sqrt(Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))

Radius of Circular Section of Torus given Lateral Surface Area of Torus Sector

Go Radius of Circular Section of Torus = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))

Lateral Surface Area of Torus Sector

Go Lateral Surface Area of Torus Sector = (4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi)))

Volume of Torus Sector

Go 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)))

Total Surface Area of Torus Sector

Go Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))

Lateral Surface Area of Torus Sector given Volume

Go Lateral Surface Area of Torus Sector = 2*(Volume of Torus Sector/(Radius of Circular Section of Torus))

Volume of Torus Sector given Lateral Surface Area

Go Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2

Volume of Torus Sector given Lateral Surface Area Formula

Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2
V_Sector = (r_{Circular Section}*LSA_Sector)/2

What is Torus Sector?

Torus Sector is a piece cut straight out of a torus. The size of the piece is determined by the angle of intersection originating at the center. An angle of 360° covers the whole torus.

What is Torus?

In geometry, a Torus is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.

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

Volume of Torus Sector given Lateral Surface Area calculator uses Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2 to calculate 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 calculate Volume of Torus Sector given Lateral Surface Area using this online calculator? To use this online calculator 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. Here is how the Volume of Torus Sector given Lateral Surface Area calculation can be explained with given input values -> 1040 = (8*260)/2.

FAQ

What is Volume of Torus Sector given Lateral Surface Area?

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 and is represented as V_Sector = (r_{Circular Section}*LSA_Sector)/2 or Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2. 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 & Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector.

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

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 is calculated using Volume of Torus Sector = (Radius of Circular Section of Torus*Lateral Surface Area of Torus Sector)/2. To calculate Volume of Torus Sector given Lateral Surface Area, you need Radius of Circular Section of Torus (r_{Circular Section}) & Lateral Surface Area of Torus Sector (LSA_Sector). With our tool, you need to enter the respective value for Radius of Circular Section of Torus & Lateral Surface Area of Torus Sector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Torus Sector?

In this formula, Volume of Torus Sector uses Radius of Circular Section of Torus & Lateral Surface Area of Torus Sector. We can use 6 other way(s) to calculate the same, which is/are as follows -

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)*((Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))^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)))
Volume of Torus Sector = (2*(pi^2)*(Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))*(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)*(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)))

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