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Total Surface Area of Torus given Radius and Volume Formula

GoTotal Surface Area of Torus Formula

GoTotal Surface Area of Torus given Radius and Breadth Formula

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Total Surface Area of Torus is the total quantity of two dimensional space enclosed on the entire surface of the Torus. Check FAQs

TSA = (4 \cdot (π^{2}) \cdot (r) \cdot (\sqrt{\frac{V}{2 \cdot π^{2} \cdot r}}))

TSA - Total Surface Area of Torus?r - Radius of Torus?V - Volume of Torus?π - Archimedes' constant?

Total Surface Area of Torus given Radius and Volume Example

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Here is how the Total Surface Area of Torus given Radius and Volume equation looks like with Values.

Here is how the Total Surface Area of Torus given Radius and Volume equation looks like with Units.

Here is how the Total Surface Area of Torus given Radius and Volume equation looks like.

3154.134 = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\sqrt{\frac{12600}{2 \cdot {3.1416}^{2} \cdot 10}}))

3154.134m² = (4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\sqrt{\frac{12600m³}{2 \cdot {3.1416}^{2} \cdot 10m}}))

3154.134 = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\sqrt{\frac{12600}{2 \cdot {3.1416}^{2} \cdot 10}}))

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Total Surface Area of Torus given Radius and Volume Solution

Follow our step by step solution on how to calculate Total Surface Area of Torus given Radius and Volume?

FIRST Step Consider the formula

TSA = (4 \cdot (π^{2}) \cdot (r) \cdot (\sqrt{\frac{V}{2 \cdot π^{2} \cdot r}}))

Next Step Substitute values of Variables

∴

TSA = (4 \cdot (π^{2}) \cdot (10m) \cdot (\sqrt{\frac{12600m³}{2 \cdot π^{2} \cdot 10m}}))

Next Step Substitute values of Constants

∴

TSA = (4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\sqrt{\frac{12600m³}{2 \cdot {3.1416}^{2} \cdot 10m}}))

Next Step Prepare to Evaluate

∴

TSA = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\sqrt{\frac{12600}{2 \cdot {3.1416}^{2} \cdot 10}}))

Next Step Evaluate

∴

TSA = 3154.13399149403m²

LAST Step Rounding Answer

∴

TSA = 3154.134m²

Total Surface Area of Torus given Radius and Volume Formula Elements

Variables

Constants

Functions

Total Surface Area of Torus

Total Surface Area of Torus is the total quantity of two dimensional space enclosed on the entire surface of the Torus.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Torus

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.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Torus

Volume of Torus

Volume of Torus is the amount of three dimensional space occupied by Torus.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Torus

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Total Surface Area of Torus

Go Total Surface Area of Torus

TSA = 4 \cdot (π^{2}) \cdot r \cdot r Circular Section

Go Total Surface Area of Torus given Radius and Breadth

TSA = (4 \cdot (π^{2}) \cdot (r) \cdot ((\frac{b}{2}) - r))

Go Total Surface Area of Torus given Radius and Hole Radius

TSA = (4 \cdot (π^{2}) \cdot (r) \cdot (r - r Hole))

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

Total Surface Area of Torus given Radius and Volume evaluator uses Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))) to evaluate 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 evaluate Total Surface Area of Torus given Radius and Volume using this online evaluator? To use this online evaluator for Total Surface Area of Torus given Radius and Volume, enter Radius of Torus (r) & Volume of Torus (V) and hit the calculate button.

FAQs on Total Surface Area of Torus given Radius and Volume

What is the formula to find Total Surface Area of Torus given Radius and Volume?

The formula of Total Surface Area of Torus given Radius and Volume is expressed as Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))). Here is an example- 3154.134 = (4*(pi^2)*(10)*(sqrt(12600/(2*pi^2*10)))).

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

With Radius of Torus (r) & Volume of Torus (V) we can find Total Surface Area of Torus given Radius and Volume using the formula - Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Torus?

Here are the different ways to Calculate Total Surface Area of Torus-

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

Can the Total Surface Area of Torus given Radius and Volume be negative?

No, the Total Surface Area of Torus given Radius and Volume, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Torus given Radius and Volume?

Total Surface Area of Torus given Radius and Volume is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Torus given Radius and Volume can be measured.

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Total Surface Area of Torus given Radius and Volume Formula

​GoTotal Surface Area of Torus Formula

​GoTotal Surface Area of Torus given Radius and Breadth Formula

Total Surface Area of Torus given Radius and Volume Example

Total Surface Area of Torus given Radius and Volume Solution

Total Surface Area of Torus given Radius and Volume Formula Elements

Other Formulas to find Total Surface Area of Torus

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

FAQs on Total Surface Area of Torus given Radius and Volume

Variable Name

GoTotal Surface Area of Torus Formula

GoTotal Surface Area of Torus given Radius and Breadth Formula