Surface to Volume Ratio of Toroid given Total Surface Area Calculator

✖Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid.ⓘ Total Surface Area of Toroid [TSA]			+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 Area of Toroid is the amount of two-dimensional space occupied by the cross-section of the Toroid.ⓘ Cross Sectional Area of Toroid [A_{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 given Total Surface Area [R_A/V]

⎘ Copy

👎

Formula

✖

Surface to Volume Ratio of Toroid given Total Surface Area

Formula

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

Example

`"0.604789m⁻¹"=("1900m²"/(2*pi*"10m"*"50m²"))`

Calculator

LaTeX

Reset

👍

Download Toroid Formula PDF PDF Image

Surface to Volume Ratio of Toroid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Total Surface Area of Toroid - (Measured in Square Meter) - Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface of the 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 Area of Toroid - (Measured in Square Meter) - Cross Sectional Area of Toroid is the amount of two-dimensional space occupied by the cross-section of the Toroid.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Toroid: 1900 Square Meter --> 1900 Square Meter No Conversion Required
Radius of Toroid: 10 Meter --> 10 Meter No Conversion Required
Cross Sectional Area of Toroid: 50 Square Meter --> 50 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (TSA/(2*pi*r*A_{Cross Section})) --> (1900/(2*pi*10*50))

Evaluating ... ...

R_A/V = 0.604788783749202

STEP 3: Convert Result to Output's Unit

0.604788783749202 1 per Meter --> No Conversion Required

FINAL ANSWER

0.604788783749202 ≈ 0.604789 1 per Meter <-- Surface to Volume Ratio of Toroid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Toroid » Surface to Volume Ratio » Surface to Volume Ratio of Toroid given Total Surface Area

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!

< 3 Surface to Volume Ratio Calculators

Surface to Volume Ratio of Toroid Sector

Go Surface to Volume Ratio of Toroid Sector = ((2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid*(Angle of Intersection of Toroid Sector/(2*pi)))+(2*Cross Sectional Area of Toroid))/(2*pi*Radius of Toroid*Cross Sectional Area of Toroid*(Angle of Intersection of Toroid Sector/(2*pi)))

Surface to Volume Ratio of Toroid given Total Surface Area

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

Surface to Volume Ratio of Toroid

Go Surface to Volume Ratio of Toroid = (Cross Sectional Perimeter of Toroid/Cross Sectional Area of Toroid)

Surface to Volume Ratio of Toroid given Total Surface Area Formula

Surface to Volume Ratio of Toroid = (Total Surface Area of Toroid/(2*pi*Radius of Toroid*Cross Sectional Area of Toroid))
R_A/V = (TSA/(2*pi*r*A_{Cross Section}))

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 Surface to Volume Ratio of Toroid given Total Surface Area?

Surface to Volume Ratio of Toroid given Total Surface Area calculator uses Surface to Volume Ratio of Toroid = (Total Surface Area of Toroid/(2*pi*Radius of Toroid*Cross Sectional Area of Toroid)) to calculate the Surface to Volume Ratio of Toroid, Surface to volume ratio of Toroid given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Toroid to the volume of the Toroid, calculated using total surface area of Toroid. Surface to Volume Ratio of Toroid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Toroid given Total Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Toroid given Total Surface Area, enter Total Surface Area of Toroid (TSA), Radius of Toroid (r) & Cross Sectional Area of Toroid (A_{Cross Section}) and hit the calculate button. Here is how the Surface to Volume Ratio of Toroid given Total Surface Area calculation can be explained with given input values -> 0.604789 = (1900/(2*pi*10*50)).

FAQ

What is Surface to Volume Ratio of Toroid given Total Surface Area?

Surface to volume ratio of Toroid given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Toroid to the volume of the Toroid, calculated using total surface area of Toroid and is represented as R_A/V = (TSA/(2*pi*r*A_{Cross Section})) or Surface to Volume Ratio of Toroid = (Total Surface Area of Toroid/(2*pi*Radius of Toroid*Cross Sectional Area of Toroid)). Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface of the 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 Area of Toroid is the amount of two-dimensional space occupied by the cross-section of the Toroid.

How to calculate Surface to Volume Ratio of Toroid given Total Surface Area?

Surface to volume ratio of Toroid given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Toroid to the volume of the Toroid, calculated using total surface area of Toroid is calculated using Surface to Volume Ratio of Toroid = (Total Surface Area of Toroid/(2*pi*Radius of Toroid*Cross Sectional Area of Toroid)). To calculate Surface to Volume Ratio of Toroid given Total Surface Area, you need Total Surface Area of Toroid (TSA), Radius of Toroid (r) & Cross Sectional Area of Toroid (A_{Cross Section}). With our tool, you need to enter the respective value for Total Surface Area of Toroid, Radius of Toroid & Cross Sectional Area 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 Surface to Volume Ratio of Toroid?

In this formula, Surface to Volume Ratio of Toroid uses Total Surface Area of Toroid, Radius of Toroid & Cross Sectional Area of Toroid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Toroid = (Cross Sectional Perimeter of Toroid/Cross Sectional Area of Toroid)

Home

FREE PDFs

🔍 Search