Volume of Toroid given Total Surface Area Calculator

✖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 [TSA]			+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%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Toroid Formula PDF PDF Image

Volume of Toroid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Cross Sectional Area of Toroid: 50 Square Meter --> 50 Square Meter No Conversion Required
Total Surface Area of Toroid: 1900 Square Meter --> 1900 Square Meter No Conversion Required
Cross Sectional Perimeter of Toroid: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (2*pi*A_{Cross Section})*(TSA/(2*pi*P_{Cross Section})) --> (2*pi*50)*(1900/(2*pi*30))

Evaluating ... ...

V = 3166.66666666667

STEP 3: Convert Result to Output's Unit

3166.66666666667 Cubic Meter --> No Conversion Required

FINAL ANSWER

3166.66666666667 ≈ 3166.667 Cubic Meter <-- Volume of Toroid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Toroid » Volume of Toroid » Volume 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!

< Volume of Toroid Calculators

Volume of Toroid given Total Surface Area

LaTeX 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

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

Volume of Toroid

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

< Volume of Toroid Calculators

Volume of Toroid given Total Surface Area

LaTeX 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

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

Volume of Toroid given Total Surface Area Formula

LaTeX Go

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

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

How to calculate Volume of Toroid given Total Surface Area using this online calculator? To use this online calculator for Volume of Toroid given Total Surface Area, enter Cross Sectional Area of Toroid (A_{Cross Section}), Total Surface Area of Toroid (TSA) & Cross Sectional Perimeter of Toroid (P_{Cross Section}) and hit the calculate button. Here is how the Volume of Toroid given Total Surface Area calculation can be explained with given input values -> 3166.667 = (2*pi*50)*(1900/(2*pi*30)).

FAQ

What is Volume of Toroid given Total Surface Area?

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

How to calculate Volume of Toroid given Total Surface Area?

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

Home

FREE PDFs

🔍 Search