Total Surface Area of Torus given Radius and Volume Calculator

✖Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.ⓘ Radius of Torus [r]			+10% -10%
✖Volume of Torus is the amount of three dimensional space occupied by Torus.ⓘ Volume of Torus [V]			+10% -10%

✖Total Surface Area of Torus is the total quantity of two dimensional space enclosed on the entire surface of the Torus.ⓘ Total Surface Area of Torus given Radius and Volume [TSA]

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Total Surface Area of Torus given Radius and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))
TSA = (4*(pi^2)*(r)*(sqrt(V/(2*pi^2*r))))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Surface Area of Torus - (Measured in Square Meter) - Total Surface Area of Torus is the total quantity of two dimensional space enclosed on the entire surface of the Torus.
Radius of Torus - (Measured in Meter) - Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.
Volume of Torus - (Measured in Cubic Meter) - Volume of Torus is the amount of three dimensional space occupied by Torus.

STEP 1: Convert Input(s) to Base Unit

Radius of Torus: 10 Meter --> 10 Meter No Conversion Required
Volume of Torus: 12600 Cubic Meter --> 12600 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (4*(pi^2)*(r)*(sqrt(V/(2*pi^2*r)))) --> (4*(pi^2)*(10)*(sqrt(12600/(2*pi^2*10))))

Evaluating ... ...

TSA = 3154.13399149403

STEP 3: Convert Result to Output's Unit

3154.13399149403 Square Meter --> No Conversion Required

FINAL ANSWER

3154.13399149403 ≈ 3154.134 Square Meter <-- Total Surface Area of Torus

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Torus Calculators

Total Surface Area of Torus given Radius of Circular Section and Breadth

LaTeX Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Circular Section of Torus)*((Breadth of Torus/2)-Radius of Circular Section of Torus))

Total Surface Area of Torus given Radius of Circular Section and Hole Radius

LaTeX Go Total Surface Area of Torus = 4*(pi^2)*(Radius of Circular Section of Torus)*(Hole Radius of Torus+Radius of Circular Section of Torus)

Total Surface Area of Torus given Radius and Hole Radius

LaTeX Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole Radius of Torus))

Total Surface Area of Torus

LaTeX Go Total Surface Area of Torus = 4*(pi^2)*Radius of Torus*Radius of Circular Section of Torus

< Total Surface Area of Torus Calculators

Total Surface Area of Torus given Radius and Volume

LaTeX Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))

Total Surface Area of Torus given Radius and Hole Radius

LaTeX Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole Radius of Torus))

Total Surface Area of Torus given Radius and Breadth

LaTeX Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*((Breadth of Torus/2)-Radius of Torus))

Total Surface Area of Torus

LaTeX Go Total Surface Area of Torus = 4*(pi^2)*Radius of Torus*Radius of Circular Section of Torus

Total Surface Area of Torus given Radius and Volume Formula

LaTeX Go

Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))
TSA = (4*(pi^2)*(r)*(sqrt(V/(2*pi^2*r))))

What is Torus?

In geometry, a Torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle.

If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is a related shape, a toroid.

How to Calculate Total Surface Area of Torus given Radius and Volume?

Total Surface Area of Torus given Radius and Volume calculator uses Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))) to calculate the Total Surface Area of Torus, Total Surface Area of Torus given Radius and Volume formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Torus, calculated using radius and volume of Torus. Total Surface Area of Torus is denoted by TSA symbol.

How to calculate Total Surface Area of Torus given Radius and Volume using this online calculator? To use this online calculator for Total Surface Area of Torus given Radius and Volume, enter Radius of Torus (r) & Volume of Torus (V) and hit the calculate button. Here is how the Total Surface Area of Torus given Radius and Volume calculation can be explained with given input values -> 3154.134 = (4*(pi^2)*(10)*(sqrt(12600/(2*pi^2*10)))).

FAQ

What is Total Surface Area of Torus given Radius and Volume?

Total Surface Area of Torus given Radius and Volume formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Torus, calculated using radius and volume of Torus and is represented as TSA = (4*(pi^2)*(r)*(sqrt(V/(2*pi^2*r)))) or Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))). Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus & Volume of Torus is the amount of three dimensional space occupied by Torus.

How to calculate Total Surface Area of Torus given Radius and Volume?

Total Surface Area of Torus given Radius and Volume formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Torus, calculated using radius and volume of Torus is calculated using Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))). To calculate Total Surface Area of Torus given Radius and Volume, you need Radius of Torus (r) & Volume of Torus (V). With our tool, you need to enter the respective value for Radius of Torus & Volume of Torus 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 Torus?

In this formula, Total Surface Area of Torus uses Radius of Torus & Volume of Torus. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Torus = 4*(pi^2)*Radius of Torus*Radius of Circular Section of Torus
Total Surface Area of Torus = 4*(pi^2)*(Radius of Circular Section of Torus)*(Hole Radius of Torus+Radius of Circular Section of Torus)
Total Surface Area of Torus = (4*(pi^2)*(Radius of Circular Section of Torus)*((Breadth of Torus/2)-Radius of Circular Section of Torus))

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