Radius of Torus given Radius of Circular Section and Volume Calculator

✖Volume of Torus is the amount of three dimensional space occupied by Torus.ⓘ Volume of Torus [V]			+10% -10%
✖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%

✖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 given Radius of Circular Section and Volume [r]

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Formula

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Radius of Torus given Radius of Circular Section and Volume

Formula

`"r" = "V"/(2*pi^2*"r"_{"Circular Section"}^2)`

Example

`"9.973804m"="12600m³"/(2*pi^2*("8m")^2)`

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Radius of Torus given Radius of Circular Section and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Torus = Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2)
r = V/(2*pi^2*r_{Circular Section}^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Volume of Torus - (Measured in Cubic Meter) - Volume of Torus is the amount of three dimensional space occupied by Torus.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Torus: 12600 Cubic Meter --> 12600 Cubic Meter No Conversion Required
Radius of Circular Section of Torus: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = V/(2*pi^2*r_{Circular Section}^2) --> 12600/(2*pi^2*8^2)

Evaluating ... ...

r = 9.97380401479263

STEP 3: Convert Result to Output's Unit

9.97380401479263 Meter --> No Conversion Required

FINAL ANSWER

9.97380401479263 ≈ 9.973804 Meter <-- Radius of Torus

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 4 Radius of Torus Calculators

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

Go Radius of Torus = (Total Surface Area of Torus)/(4*(pi^2)*Radius of Circular Section of Torus)

Radius of Torus given Radius of Circular Section and Volume

Go Radius of Torus = Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2)

Radius of Torus given Radius of Circular Section and Breadth

Go Radius of Torus = (Breadth of Torus/2)-Radius of Circular Section of Torus

Radius of Torus given Hole Radius and Surface to Volume Ratio

Go Radius of Torus = Hole Radius of Torus+2/Surface to Volume Ratio of Torus

< 4 Radius of Torus Calculators

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

Go Radius of Torus = (Total Surface Area of Torus)/(4*(pi^2)*Radius of Circular Section of Torus)

Radius of Torus given Radius of Circular Section and Volume

Go Radius of Torus = Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2)

Radius of Torus

Go Radius of Torus = Hole Radius of Torus+Radius of Circular Section of Torus

Radius of Torus given Hole Radius and Surface to Volume Ratio

Go Radius of Torus = Hole Radius of Torus+2/Surface to Volume Ratio of Torus

Radius of Torus given Radius of Circular Section and Volume Formula

Radius of Torus = Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2)
r = V/(2*pi^2*r_{Circular Section}^2)

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 Radius of Torus given Radius of Circular Section and Volume?

Radius of Torus given Radius of Circular Section and Volume calculator uses Radius of Torus = Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2) to calculate the Radius of Torus, Radius of Torus given Radius of Circular Section and Volume formula is defined as the line connecting the center of overall Torus to the center of circular cross section of Torus, calculated using radius of circular section and volume of Torus. Radius of Torus is denoted by r symbol.

How to calculate Radius of Torus given Radius of Circular Section and Volume using this online calculator? To use this online calculator for Radius of Torus given Radius of Circular Section and Volume, enter Volume of Torus (V) & Radius of Circular Section of Torus (r_{Circular Section}) and hit the calculate button. Here is how the Radius of Torus given Radius of Circular Section and Volume calculation can be explained with given input values -> 9.973804 = 12600/(2*pi^2*8^2).

FAQ

What is Radius of Torus given Radius of Circular Section and Volume?

Radius of Torus given Radius of Circular Section and Volume formula is defined as the line connecting the center of overall Torus to the center of circular cross section of Torus, calculated using radius of circular section and volume of Torus and is represented as r = V/(2*pi^2*r_{Circular Section}^2) or Radius of Torus = Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2). Volume of Torus is the amount of three dimensional space occupied by 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.

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

Radius of Torus given Radius of Circular Section and Volume formula is defined as the line connecting the center of overall Torus to the center of circular cross section of Torus, calculated using radius of circular section and volume of Torus is calculated using Radius of Torus = Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2). To calculate Radius of Torus given Radius of Circular Section and Volume, you need Volume of Torus (V) & Radius of Circular Section of Torus (r_{Circular Section}). With our tool, you need to enter the respective value for Volume of Torus & Radius of Circular Section 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 Radius of Torus?

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

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

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