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Volume of Deltoidal Icositetrahedron given Insphere Radius Formula

GoVolume of Deltoidal Icositetrahedron Formula

GoVolume of Deltoidal Icositetrahedron given Short Edge Formula

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

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

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

Volume of Deltoidal Icositetrahedron given Insphere Radius Example

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

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

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

51280.2448 = \frac{2}{7} \cdot \sqrt{292 + (206 \cdot \sqrt{2})} \cdot {(\frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{3}

51280.2448m³ = \frac{2}{7} \cdot \sqrt{292 + (206 \cdot \sqrt{2})} \cdot {(\frac{22m}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{3}

51280.2448 = \frac{2}{7} \cdot \sqrt{292 + (206 \cdot \sqrt{2})} \cdot {(\frac{22}{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}})}^{3}

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Volume of Deltoidal Icositetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 51280.2448039932m³

LAST Step Rounding Answer

∴

V = 51280.2448m³

Volume of Deltoidal Icositetrahedron given Insphere Radius Formula Elements

Variables

Functions

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

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

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 Volume of Deltoidal Icositetrahedron

Go Volume of Deltoidal Icositetrahedron

V = \frac{2}{7} \cdot \sqrt{292 + (206 \cdot \sqrt{2})} \cdot {l e(Long)}^{3}

Go Volume of Deltoidal Icositetrahedron given Short Edge

V = \frac{2}{7} \cdot \sqrt{292 + (206 \cdot \sqrt{2})} \cdot {(\frac{7 \cdot l e(Short)}{4 + \sqrt{2}})}^{3}

Go Volume of Deltoidal Icositetrahedron given Symmetry Diagonal

V = \frac{2}{7} \cdot \sqrt{292 + (206 \cdot \sqrt{2})} \cdot {(\frac{7 \cdot d Symmetry}{\sqrt{46 + (15 \cdot \sqrt{2})}})}^{3}

Go Volume of Deltoidal Icositetrahedron given NonSymmetry Diagonal

V = \frac{2}{7} \cdot \sqrt{292 + (206 \cdot \sqrt{2})} \cdot {(\frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

How to Evaluate Volume of Deltoidal Icositetrahedron given Insphere Radius?

Volume of Deltoidal Icositetrahedron given Insphere Radius evaluator uses Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)))^3 to evaluate the Volume of Deltoidal Icositetrahedron, Volume of Deltoidal Icositetrahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using insphere radius of Deltoidal Icositetrahedron. Volume of Deltoidal Icositetrahedron is denoted by V symbol.

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

FAQs on Volume of Deltoidal Icositetrahedron given Insphere Radius

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

The formula of Volume of Deltoidal Icositetrahedron given Insphere Radius is expressed as Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)))^3. Here is an example- 51280.24 = 2/7*sqrt(292+(206*sqrt(2)))*(22/(sqrt((22+(15*sqrt(2)))/34)))^3.

How to calculate Volume of Deltoidal Icositetrahedron given Insphere Radius?

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

What are the other ways to Calculate Volume of Deltoidal Icositetrahedron?

Here are the different ways to Calculate Volume of Deltoidal Icositetrahedron-

Volume of Deltoidal Icositetrahedron=2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3
Volume of Deltoidal Icositetrahedron=2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3
Volume of Deltoidal Icositetrahedron=2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3

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

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

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

Volume of Deltoidal Icositetrahedron given Insphere Radius is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Deltoidal Icositetrahedron given Insphere Radius can be measured.

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