Surface to Volume Ratio of Torus given Radius and Hole Radius Calculator

✖Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.ⓘ Radius of Torus [r]			+10% -10%
✖Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus.ⓘ Hole Radius of Torus [r_Hole]			+10% -10%

✖Surface to Volume Ratio of Torus is the numerical ratio of the total surface area of Torus to the volume of the Torus.ⓘ Surface to Volume Ratio of Torus given Radius and Hole Radius [R_A/V]

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Surface to Volume Ratio of Torus given Radius and Hole Radius

Formula

`"R"_{"A/V"} = 2/("r"-"r"_{"Hole"})`

Example

`"0.25m⁻¹"=2/("10m"-"2m")`

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Surface to Volume Ratio of Torus given Radius and Hole Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Torus = 2/(Radius of Torus-Hole Radius of Torus)
R_A/V = 2/(r-r_Hole)
This formula uses 3 Variables

Variables Used

Surface to Volume Ratio of Torus - (Measured in 1 per Meter) - Surface to Volume Ratio of Torus is the numerical ratio of the total surface area of Torus to the volume of the Torus.
Radius of Torus - (Measured in Meter) - Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.
Hole Radius of Torus - (Measured in Meter) - Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus.

STEP 1: Convert Input(s) to Base Unit

Radius of Torus: 10 Meter --> 10 Meter No Conversion Required
Hole Radius of Torus: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = 2/(r-r_Hole) --> 2/(10-2)

Evaluating ... ...

R_A/V = 0.25

STEP 3: Convert Result to Output's Unit

0.25 1 per Meter --> No Conversion Required

FINAL ANSWER

0.25 1 per Meter <-- Surface to Volume Ratio of Torus

(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 5 Surface to Volume Ratio of Torus Calculators

Surface to Volume Ratio of Torus given Radius and Volume

Go Surface to Volume Ratio of Torus = (2/(sqrt(Volume of Torus/(4*(pi^2)*Radius of Torus))))

Surface to Volume Ratio of Torus given Radius and Total Surface Area

Go Surface to Volume Ratio of Torus = (2/(Total Surface Area of Torus/(4*(pi^2)*Radius of Torus)))

Surface to Volume Ratio of Torus given Radius and Hole Radius

Go Surface to Volume Ratio of Torus = 2/(Radius of Torus-Hole Radius of Torus)

Surface to Volume Ratio of Torus given Radius and Breadth

Go Surface to Volume Ratio of Torus = 2/((Breadth of Torus/2)-Radius of Torus)

Surface to Volume Ratio of Torus

Go Surface to Volume Ratio of Torus = 2/Radius of Circular Section of Torus

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

Surface to Volume Ratio of Torus = 2/(Radius of Torus-Hole Radius of Torus)
R_A/V = 2/(r-r_Hole)

What is Torus?

In geometry, a Torus (plural tori) 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. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is a related shape, a toroid.

How to Calculate Surface to Volume Ratio of Torus given Radius and Hole Radius?

Surface to Volume Ratio of Torus given Radius and Hole Radius calculator uses Surface to Volume Ratio of Torus = 2/(Radius of Torus-Hole Radius of Torus) to calculate the Surface to Volume Ratio of Torus, Surface to Volume Ratio of Torus given Radius and Hole Radius formula is defined as the numerical ratio of the total surface area of the Torus to the volume of the Torus, calculated using radius and hole radius of Torus. Surface to Volume Ratio of Torus is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Torus given Radius and Hole Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Torus given Radius and Hole Radius, enter Radius of Torus (r) & Hole Radius of Torus (r_Hole) and hit the calculate button. Here is how the Surface to Volume Ratio of Torus given Radius and Hole Radius calculation can be explained with given input values -> 0.25 = 2/(10-2).

FAQ

What is Surface to Volume Ratio of Torus given Radius and Hole Radius?

Surface to Volume Ratio of Torus given Radius and Hole Radius formula is defined as the numerical ratio of the total surface area of the Torus to the volume of the Torus, calculated using radius and hole radius of Torus and is represented as R_A/V = 2/(r-r_Hole) or Surface to Volume Ratio of Torus = 2/(Radius of Torus-Hole 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 & Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus.

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

Surface to Volume Ratio of Torus given Radius and Hole Radius formula is defined as the numerical ratio of the total surface area of the Torus to the volume of the Torus, calculated using radius and hole radius of Torus is calculated using Surface to Volume Ratio of Torus = 2/(Radius of Torus-Hole Radius of Torus). To calculate Surface to Volume Ratio of Torus given Radius and Hole Radius, you need Radius of Torus (r) & Hole Radius of Torus (r_Hole). With our tool, you need to enter the respective value for Radius of Torus & Hole Radius of Torus 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 Surface to Volume Ratio of Torus?

In this formula, Surface to Volume Ratio of Torus uses Radius of Torus & Hole Radius of Torus. We can use 4 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Torus = 2/Radius of Circular Section of Torus
Surface to Volume Ratio of Torus = 2/((Breadth of Torus/2)-Radius of Torus)
Surface to Volume Ratio of Torus = (2/(Total Surface Area of Torus/(4*(pi^2)*Radius of Torus)))
Surface to Volume Ratio of Torus = (2/(sqrt(Volume of Torus/(4*(pi^2)*Radius of Torus))))

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