Total Surface Area 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%
✖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%
✖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%

✖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 given Surface to Volume Ratio [TSA]

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Total Surface Area of Toroid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

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

TSA = (2*pi*r)*(R_A/V*A_{Cross Section}) --> (2*pi*10)*(0.6*50)

Evaluating ... ...

TSA = 1884.95559215388

STEP 3: Convert Result to Output's Unit

1884.95559215388 Square Meter --> No Conversion Required

FINAL ANSWER

1884.95559215388 ≈ 1884.956 Square Meter <-- Total Surface Area 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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< Total Surface Area of Toroid Calculators

Total Surface Area of Toroid given Volume

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

Total Surface Area of Toroid given Surface to Volume Ratio

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

Total Surface Area of Toroid

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

Total Surface Area of Toroid given Surface to Volume Ratio Formula

LaTeX Go

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

Total Surface Area of Toroid given Surface to Volume Ratio calculator uses Total Surface Area of Toroid = (2*pi*Radius of Toroid)*(Surface to Volume Ratio of Toroid*Cross Sectional Area of Toroid) to calculate the Total Surface Area of Toroid, Total Surface Area of Toroid given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Toroid, calculated using surface to volume ratio of Toroid. Total Surface Area of Toroid is denoted by TSA symbol.

How to calculate Total Surface Area of Toroid given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Toroid given Surface to Volume Ratio, enter Radius of Toroid (r), Surface to Volume Ratio of Toroid (R_A/V) & Cross Sectional Area of Toroid (A_{Cross Section}) and hit the calculate button. Here is how the Total Surface Area of Toroid given Surface to Volume Ratio calculation can be explained with given input values -> 1884.956 = (2*pi*10)*(0.6*50).

FAQ

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

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

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

Total Surface Area of Toroid given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Toroid, calculated using surface to volume ratio of Toroid is calculated using Total Surface Area of Toroid = (2*pi*Radius of Toroid)*(Surface to Volume Ratio of Toroid*Cross Sectional Area of Toroid). To calculate Total Surface Area of Toroid given Surface to Volume Ratio, you need Radius of Toroid (r), Surface to Volume Ratio of Toroid (R_A/V) & Cross Sectional Area of Toroid (A_{Cross Section}). With our tool, you need to enter the respective value for Radius of Toroid, Surface to Volume Ratio 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 Total Surface Area of Toroid?

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

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

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