Total Surface Area of Toroid given Volume Calculator

✖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%
✖Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.ⓘ Volume of Toroid [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 Volume [TSA]

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Total Surface Area of Toroid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Toroid = (2*pi*Cross Sectional Perimeter of Toroid)*(Volume of Toroid/(2*pi*Cross Sectional Area of Toroid))
TSA = (2*pi*P_{Cross Section})*(V/(2*pi*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.
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.
Volume of Toroid - (Measured in Cubic Meter) - Volume of Toroid is defined as the amount of three dimensional space covered by 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

Cross Sectional Perimeter of Toroid: 30 Meter --> 30 Meter No Conversion Required
Volume of Toroid: 3150 Cubic Meter --> 3150 Cubic 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*P_{Cross Section})*(V/(2*pi*A_{Cross Section})) --> (2*pi*30)*(3150/(2*pi*50))

Evaluating ... ...

TSA = 1890

STEP 3: Convert Result to Output's Unit

1890 Square Meter --> No Conversion Required

FINAL ANSWER

1890 Square Meter <-- Total Surface Area of Toroid

(Calculation completed in 00.006 seconds)

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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 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

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

Total Surface Area of Toroid given Volume Formula

LaTeX Go

Total Surface Area of Toroid = (2*pi*Cross Sectional Perimeter of Toroid)*(Volume of Toroid/(2*pi*Cross Sectional Area of Toroid))
TSA = (2*pi*P_{Cross Section})*(V/(2*pi*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 Volume?

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

How to calculate Total Surface Area of Toroid given Volume using this online calculator? To use this online calculator for Total Surface Area of Toroid given Volume, enter Cross Sectional Perimeter of Toroid (P_{Cross Section}), Volume of Toroid (V) & Cross Sectional Area of Toroid (A_{Cross Section}) and hit the calculate button. Here is how the Total Surface Area of Toroid given Volume calculation can be explained with given input values -> 1890 = (2*pi*30)*(3150/(2*pi*50)).

FAQ

What is Total Surface Area of Toroid given Volume?

The Total Surface Area of Toroid given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Toroid and is represented as TSA = (2*pi*P_{Cross Section})*(V/(2*pi*A_{Cross Section})) or Total Surface Area of Toroid = (2*pi*Cross Sectional Perimeter of Toroid)*(Volume of Toroid/(2*pi*Cross Sectional Area of Toroid)). Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid, Volume of Toroid is defined as the amount of three dimensional space covered by 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 Volume?

The Total Surface Area of Toroid given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Toroid is calculated using Total Surface Area of Toroid = (2*pi*Cross Sectional Perimeter of Toroid)*(Volume of Toroid/(2*pi*Cross Sectional Area of Toroid)). To calculate Total Surface Area of Toroid given Volume, you need Cross Sectional Perimeter of Toroid (P_{Cross Section}), Volume of Toroid (V) & Cross Sectional Area of Toroid (A_{Cross Section}). With our tool, you need to enter the respective value for Cross Sectional Perimeter of Toroid, Volume 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 Cross Sectional Perimeter of Toroid, Volume of Toroid & Cross Sectional Area of Toroid. We can use 3 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*Radius of Toroid)*(Surface to Volume Ratio of Toroid*Cross Sectional Area of Toroid)
Total Surface Area of Toroid = (2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid)

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