Radius of Toroid given Surface to Volume Ratio and Volume Calculator

✖Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.ⓘ Volume of Toroid [V]			+10% -10%
✖Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid.ⓘ Cross Sectional Perimeter of Toroid [P_{Cross Section}]			+10% -10%
✖Surface to Volume Ratio of Toroid is defined as the numerical ratio of the total surface area of a Toroid to the volume of the Toroid.ⓘ Surface to Volume Ratio of Toroid [R_A/V]			+10% -10%

✖Radius of Toroid is the line connecting the center of the overall Toroid to the center of a cross-section of the Toroid.ⓘ Radius of Toroid given Surface to Volume Ratio and Volume [r]

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Radius of Toroid given Surface to Volume Ratio and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)))
r = (V/(2*pi*(P_{Cross Section}/R_A/V)))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of Toroid - (Measured in Meter) - Radius of Toroid is the line connecting the center of the overall Toroid to the center of a cross-section of the Toroid.
Volume of Toroid - (Measured in Cubic Meter) - Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.
Cross Sectional Perimeter of Toroid - (Measured in Meter) - Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid.
Surface to Volume Ratio of Toroid - (Measured in 1 per Meter) - Surface to Volume Ratio of Toroid is defined as the numerical ratio of the total surface area of a Toroid to the volume of the Toroid.

STEP 1: Convert Input(s) to Base Unit

Volume of Toroid: 3150 Cubic Meter --> 3150 Cubic Meter No Conversion Required
Cross Sectional Perimeter of Toroid: 30 Meter --> 30 Meter No Conversion Required
Surface to Volume Ratio of Toroid: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (V/(2*pi*(P_{Cross Section}/R_A/V))) --> (3150/(2*pi*(30/0.6)))

Evaluating ... ...

r = 10.0267614147894

STEP 3: Convert Result to Output's Unit

10.0267614147894 Meter --> No Conversion Required

FINAL ANSWER

10.0267614147894 ≈ 10.02676 Meter <-- Radius of Toroid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< Radius of Toroid Calculators

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

LaTeX Go Radius of Toroid = (Total Surface Area of Toroid/(2*pi*Cross Sectional Area of Toroid*Surface to Volume Ratio of Toroid))

Radius of Toroid given Surface to Volume Ratio and Volume

LaTeX Go Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)))

Radius of Toroid

LaTeX Go Radius of Toroid = (Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid))

Radius of Toroid given Volume

LaTeX Go Radius of Toroid = (Volume of Toroid/(2*pi*Cross Sectional Area of Toroid))

Radius of Toroid given Surface to Volume Ratio and Volume Formula

LaTeX Go

Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)))
r = (V/(2*pi*(P_{Cross Section}/R_A/V)))

What is Toroid?

In geometry, a Toroid is a surface of revolution with a hole in the middle. The axis of revolution passes through the hole and so does not intersect the surface. For example, when a rectangle is rotated around an axis parallel to one of its edges, then a hollow rectangle-section ring is produced. If the revolved figure is a circle, then the object is called a torus.

How to Calculate Radius of Toroid given Surface to Volume Ratio and Volume?

Radius of Toroid given Surface to Volume Ratio and Volume calculator uses Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid))) to calculate the Radius of Toroid, Radius of Toroid given Surface to Volume Ratio and Volume formula is defined as the line connecting the center of overall Toroid to the center of cross section of Toroid, calculated using surface to volume ratio and volume of Toroid. Radius of Toroid is denoted by r symbol.

How to calculate Radius of Toroid given Surface to Volume Ratio and Volume using this online calculator? To use this online calculator for Radius of Toroid given Surface to Volume Ratio and Volume, enter Volume of Toroid (V), Cross Sectional Perimeter of Toroid (P_{Cross Section}) & Surface to Volume Ratio of Toroid (R_A/V) and hit the calculate button. Here is how the Radius of Toroid given Surface to Volume Ratio and Volume calculation can be explained with given input values -> 10.02676 = (3150/(2*pi*(30/0.6))).

FAQ

What is Radius of Toroid given Surface to Volume Ratio and Volume?

Radius of Toroid given Surface to Volume Ratio and Volume formula is defined as the line connecting the center of overall Toroid to the center of cross section of Toroid, calculated using surface to volume ratio and volume of Toroid and is represented as r = (V/(2*pi*(P_{Cross Section}/R_A/V))) or Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid))). Volume of Toroid is defined as the amount of three dimensional space covered by Toroid, Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid & Surface to Volume Ratio of Toroid is defined as the numerical ratio of the total surface area of a Toroid to the volume of the Toroid.

How to calculate Radius of Toroid given Surface to Volume Ratio and Volume?

Radius of Toroid given Surface to Volume Ratio and Volume formula is defined as the line connecting the center of overall Toroid to the center of cross section of Toroid, calculated using surface to volume ratio and volume of Toroid is calculated using Radius of Toroid = (Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid))). To calculate Radius of Toroid given Surface to Volume Ratio and Volume, you need Volume of Toroid (V), Cross Sectional Perimeter of Toroid (P_{Cross Section}) & Surface to Volume Ratio of Toroid (R_A/V). With our tool, you need to enter the respective value for Volume of Toroid, Cross Sectional Perimeter of Toroid & Surface to Volume Ratio of Toroid 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 Toroid?

In this formula, Radius of Toroid uses Volume of Toroid, Cross Sectional Perimeter of Toroid & Surface to Volume Ratio of Toroid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Toroid = (Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid))
Radius of Toroid = (Volume of Toroid/(2*pi*Cross Sectional Area of Toroid))
Radius of Toroid = (Total Surface Area of Toroid/(2*pi*Cross Sectional Area of Toroid*Surface to Volume Ratio of Toroid))

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