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Insphere Radius of Deltoidal Icositetrahedron given Volume Formula

GoInsphere Radius of Deltoidal Icositetrahedron Formula

GoInsphere Radius of Deltoidal Icositetrahedron given Short Edge Formula

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Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot {(\frac{7 \cdot V}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

r_i - Insphere Radius of Deltoidal Icositetrahedron?V - Volume of Deltoidal Icositetrahedron?

Insphere Radius of Deltoidal Icositetrahedron given Volume Example

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Here is how the Insphere Radius of Deltoidal Icositetrahedron given Volume equation looks like with Values.

Here is how the Insphere Radius of Deltoidal Icositetrahedron given Volume equation looks like with Units.

Here is how the Insphere Radius of Deltoidal Icositetrahedron given Volume equation looks like.

22.5468 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot {(\frac{7 \cdot 55200}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

22.5468m = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot {(\frac{7 \cdot 55200m³}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

22.5468 = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot {(\frac{7 \cdot 55200}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

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Insphere Radius of Deltoidal Icositetrahedron given Volume Solution

Follow our step by step solution on how to calculate Insphere Radius of Deltoidal Icositetrahedron given Volume?

FIRST Step Consider the formula

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot {(\frac{7 \cdot V}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot {(\frac{7 \cdot 55200m³}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot {(\frac{7 \cdot 55200}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

Next Step Evaluate

∴

r i = 22.5468396814419m

LAST Step Rounding Answer

∴

r i = 22.5468m

Insphere Radius of Deltoidal Icositetrahedron given Volume Formula Elements

Variables

Functions

Insphere Radius of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Icositetrahedron

Volume of Deltoidal Icositetrahedron

Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Deltoidal Icositetrahedron

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 Insphere Radius of Deltoidal Icositetrahedron

Go Insphere Radius of Deltoidal Icositetrahedron

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot l e(Long)

Go Insphere Radius of Deltoidal Icositetrahedron given Short Edge

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{7 \cdot l e(Short)}{4 + \sqrt{2}}

Go Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{7 \cdot d Symmetry}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Go Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

r i = \sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}} \cdot \frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}}

How to Evaluate Insphere Radius of Deltoidal Icositetrahedron given Volume?

Insphere Radius of Deltoidal Icositetrahedron given Volume evaluator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) to evaluate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron given Volume formula is defined as the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touch the sphere, calculated using the volume of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Deltoidal Icositetrahedron given Volume using this online evaluator? To use this online evaluator for Insphere Radius of Deltoidal Icositetrahedron given Volume, enter Volume of Deltoidal Icositetrahedron (V) and hit the calculate button.

FAQs on Insphere Radius of Deltoidal Icositetrahedron given Volume

What is the formula to find Insphere Radius of Deltoidal Icositetrahedron given Volume?

The formula of Insphere Radius of Deltoidal Icositetrahedron given Volume is expressed as Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3). Here is an example- 22.54684 = sqrt((22+(15*sqrt(2)))/34)*((7*55200)/(2*sqrt(292+(206*sqrt(2)))))^(1/3).

How to calculate Insphere Radius of Deltoidal Icositetrahedron given Volume?

With Volume of Deltoidal Icositetrahedron (V) we can find Insphere Radius of Deltoidal Icositetrahedron given Volume using the formula - Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Deltoidal Icositetrahedron?

Here are the different ways to Calculate Insphere Radius of Deltoidal Icositetrahedron-

Insphere Radius of Deltoidal Icositetrahedron=sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron
Insphere Radius of Deltoidal Icositetrahedron=sqrt((22+(15*sqrt(2)))/34)*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Insphere Radius of Deltoidal Icositetrahedron=sqrt((22+(15*sqrt(2)))/34)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

Can the Insphere Radius of Deltoidal Icositetrahedron given Volume be negative?

No, the Insphere Radius of Deltoidal Icositetrahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Deltoidal Icositetrahedron given Volume?

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

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