Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume Calculator

✖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 [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 [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 given Surface to Volume Ratio and Volume [P_{Cross Section}]

⎘ Copy

👎

Formula

✖

Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume

Formula

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

Example

`"30.08028m"=("0.6m⁻¹"*("3150m³"/(2*pi*"10m")))`

Calculator

LaTeX

Reset

👍

Download Toroid Formula PDF PDF Image

Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Toroid: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required
Volume of Toroid: 3150 Cubic Meter --> 3150 Cubic Meter No Conversion Required
Radius of Toroid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{Cross Section} = (R_A/V*(V/(2*pi*r))) --> (0.6*(3150/(2*pi*10)))

Evaluating ... ...

P_{Cross Section} = 30.0802842443682

STEP 3: Convert Result to Output's Unit

30.0802842443682 Meter --> No Conversion Required

FINAL ANSWER

30.0802842443682 ≈ 30.08028 Meter <-- Cross Sectional Perimeter of Toroid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Toroid » Cross Sectional Perimeter of Toroid » Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 4 Cross Sectional Perimeter of Toroid Calculators

Cross Sectional Perimeter of Toroid given Total Surface Area and Volume

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

Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume

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

Cross Sectional Perimeter of Toroid

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

Cross Sectional Perimeter of Toroid given Surface to Volume Ratio

Go Cross Sectional Perimeter of Toroid = Surface to Volume Ratio of Toroid*Cross Sectional Area of Toroid

Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume Formula

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

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 Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume?

Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume calculator uses Cross Sectional Perimeter of Toroid = (Surface to Volume Ratio of Toroid*(Volume of Toroid/(2*pi*Radius of Toroid))) to calculate the Cross Sectional Perimeter of Toroid, Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume formula is defined as the total length of the boundary of the cross section of Toroid, calculated using the surface to volume ratio and volume of Toroid. Cross Sectional Perimeter of Toroid is denoted by P_{Cross Section} symbol.

How to calculate Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume using this online calculator? To use this online calculator for Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume, enter Surface to Volume Ratio of Toroid (R_A/V), Volume of Toroid (V) & Radius of Toroid (r) and hit the calculate button. Here is how the Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume calculation can be explained with given input values -> 30.08028 = (0.6*(3150/(2*pi*10))).

FAQ

What is Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume?

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

How to calculate Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume?

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

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

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

Home

FREE PDFs

🔍 Search