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Hole Radius of Torus given Radius and Volume Formula

GoHole Radius of Torus Formula

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Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus. Check FAQs

r Hole = r - (\sqrt{\frac{V}{2 \cdot π^{2} \cdot r}})

r_Hole - Hole Radius of Torus?r - Radius of Torus?V - Volume of Torus?π - Archimedes' constant?

Hole Radius of Torus given Radius and Volume Example

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

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

Here is how the Hole Radius of Torus given Radius and Volume equation looks like.

2.0105 = 10 - (\sqrt{\frac{12600}{2 \cdot {3.1416}^{2} \cdot 10}})

2.0105m = 10m - (\sqrt{\frac{12600m³}{2 \cdot {3.1416}^{2} \cdot 10m}})

2.0105 = 10 - (\sqrt{\frac{12600}{2 \cdot {3.1416}^{2} \cdot 10}})

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Hole Radius of Torus given Radius and Volume Solution

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

FIRST Step Consider the formula

r Hole = r - (\sqrt{\frac{V}{2 \cdot π^{2} \cdot r}})

Next Step Substitute values of Variables

∴

r Hole = 10m - (\sqrt{\frac{12600m³}{2 \cdot π^{2} \cdot 10m}})

Next Step Substitute values of Constants

∴

r Hole = 10m - (\sqrt{\frac{12600m³}{2 \cdot {3.1416}^{2} \cdot 10m}})

Next Step Prepare to Evaluate

∴

r Hole = 10 - (\sqrt{\frac{12600}{2 \cdot {3.1416}^{2} \cdot 10}})

Next Step Evaluate

∴

r Hole = 2.01048526538233m

LAST Step Rounding Answer

∴

r Hole = 2.0105m

Hole Radius of Torus given Radius and Volume Formula Elements

Variables

Constants

Functions

Hole Radius of Torus

Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus.

Symbol: r_Hole

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hole Radius 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 Hole Radius of Torus

Go Hole Radius of Torus

r Hole = r - r Circular Section

How to Evaluate Hole Radius of Torus given Radius and Volume?

Hole Radius of Torus given Radius and Volume evaluator uses Hole Radius of Torus = Radius of Torus-(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))) to evaluate the Hole Radius of Torus, Hole Radius of Torus given Radius and Volume formula is defined as the shortest line connecting the center of Torus to nearest point on circumference of the circular cross section of Torus, calculated using radius and volume of Torus. Hole Radius of Torus is denoted by r_Hole symbol.

How to evaluate Hole Radius of Torus given Radius and Volume using this online evaluator? To use this online evaluator for Hole Radius of Torus given Radius and Volume, enter Radius of Torus (r) & Volume of Torus (V) and hit the calculate button.

FAQs on Hole Radius of Torus given Radius and Volume

What is the formula to find Hole Radius of Torus given Radius and Volume?

The formula of Hole Radius of Torus given Radius and Volume is expressed as Hole Radius of Torus = Radius of Torus-(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))). Here is an example- 2.010485 = 10-(sqrt(12600/(2*pi^2*10))).

How to calculate Hole Radius of Torus given Radius and Volume?

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

What are the other ways to Calculate Hole Radius of Torus?

Here are the different ways to Calculate Hole Radius of Torus-

Hole Radius of Torus=Radius of Torus-Radius of Circular Section of Torus

Can the Hole Radius of Torus given Radius and Volume be negative?

No, the Hole Radius of Torus given Radius and Volume, measured in Length cannot be negative.

Which unit is used to measure Hole Radius of Torus given Radius and Volume?

Hole Radius of Torus given Radius and Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hole Radius of Torus given Radius and Volume can be measured.

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Hole Radius of Torus given Radius and Volume Formula

​GoHole Radius of Torus Formula

Hole Radius of Torus given Radius and Volume Example

Hole Radius of Torus given Radius and Volume Solution

Hole Radius of Torus given Radius and Volume Formula Elements

Other Formulas to find Hole Radius of Torus

How to Evaluate Hole Radius of Torus given Radius and Volume?

FAQs on Hole Radius of Torus given Radius and Volume

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GoHole Radius of Torus Formula