Volume of Toroid given Surface to Volume Ratio Calculator

✖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 [r]			+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%

✖Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.ⓘ Volume of Toroid given Surface to Volume Ratio [V]

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Formula

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Volume of Toroid given Surface to Volume Ratio

Formula

`"V" = (2*pi*"r")*("P"_{"Cross Section"}/"R"_{"A/V"})`

Example

`"3141.593m³"=(2*pi*"10m")*("30m"/"0.6m⁻¹")`

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Volume of Toroid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Volume of Toroid - (Measured in Cubic Meter) - Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.
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.
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

Radius of Toroid: 10 Meter --> 10 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

V = (2*pi*r)*(P_{Cross Section}/R_A/V) --> (2*pi*10)*(30/0.6)

Evaluating ... ...

V = 3141.59265358979

STEP 3: Convert Result to Output's Unit

3141.59265358979 Cubic Meter --> No Conversion Required

FINAL ANSWER

3141.59265358979 ≈ 3141.593 Cubic Meter <-- Volume of Toroid

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 3 Volume of Toroid Calculators

Volume of Toroid given Total Surface Area

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

Volume of Toroid given Surface to Volume Ratio

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

Volume of Toroid

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

Volume of Toroid given Surface to Volume Ratio Formula

Volume of Toroid = (2*pi*Radius of Toroid)*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)
V = (2*pi*r)*(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 Volume of Toroid given Surface to Volume Ratio?

Volume of Toroid given Surface to Volume Ratio calculator uses Volume of Toroid = (2*pi*Radius of Toroid)*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid) to calculate the Volume of Toroid, Volume of Toroid given Surface to Volume Ratio formula is defined as amount of three dimensional space covered by Toroid, calculated using surface to volume ratio of Toroid. Volume of Toroid is denoted by V symbol.

How to calculate Volume of Toroid given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Toroid given Surface to Volume Ratio, enter Radius of Toroid (r), 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 Volume of Toroid given Surface to Volume Ratio calculation can be explained with given input values -> 3141.593 = (2*pi*10)*(30/0.6).

FAQ

What is Volume of Toroid given Surface to Volume Ratio?

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

Volume of Toroid given Surface to Volume Ratio formula is defined as amount of three dimensional space covered by Toroid, calculated using surface to volume ratio of Toroid is calculated using Volume of Toroid = (2*pi*Radius of Toroid)*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid). To calculate Volume of Toroid given Surface to Volume Ratio, you need Radius of Toroid (r), 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 Radius 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 Volume of Toroid?

In this formula, Volume of Toroid uses Radius of Toroid, Cross Sectional Perimeter of Toroid & Surface to Volume Ratio of Toroid. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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