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Volume of Deltoidal Hexecontahedron given Insphere Radius Formula

GoVolume of Deltoidal Hexecontahedron Formula

GoVolume of Deltoidal Hexecontahedron given Short Edge Formula

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

V = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{2 \cdot r i}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{3}

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

Volume of Deltoidal Hexecontahedron given Insphere Radius Example

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

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

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

21757.6596 = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{3}

21757.6596m³ = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{3}

21757.6596 = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{3}

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Volume of Deltoidal Hexecontahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

V = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{2 \cdot r i}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{2 \cdot 17m}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{2 \cdot 17}{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}})}^{3}

Next Step Evaluate

∴

V = 21757.6596073789m³

LAST Step Rounding Answer

∴

V = 21757.6596m³

Volume of Deltoidal Hexecontahedron given Insphere Radius Formula Elements

Variables

Functions

Volume of Deltoidal Hexecontahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Hexecontahedron

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 Hexecontahedron

Go Volume of Deltoidal Hexecontahedron

V = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {l e(Long)}^{3}

Go Volume of Deltoidal Hexecontahedron given Short Edge

V = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})})}^{3}

Go Volume of Deltoidal Hexecontahedron given Symmetry Diagonal

V = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}})}^{3}

Go Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal

V = \frac{45}{11} \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}} \cdot {(\frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}})}^{3}

How to Evaluate Volume of Deltoidal Hexecontahedron given Insphere Radius?

Volume of Deltoidal Hexecontahedron given Insphere Radius evaluator uses Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3 to evaluate the Volume of Deltoidal Hexecontahedron, Volume of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron. Volume of Deltoidal Hexecontahedron is denoted by V symbol.

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

FAQs on Volume of Deltoidal Hexecontahedron given Insphere Radius

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

The formula of Volume of Deltoidal Hexecontahedron given Insphere Radius is expressed as Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3. Here is an example- 21757.66 = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*17)/(3*sqrt((135+(59*sqrt(5)))/205)))^3.

How to calculate Volume of Deltoidal Hexecontahedron given Insphere Radius?

With Insphere Radius of Deltoidal Hexecontahedron (r_i) we can find Volume of Deltoidal Hexecontahedron given Insphere Radius using the formula - Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Deltoidal Hexecontahedron=45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3
Volume of Deltoidal Hexecontahedron=45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3
Volume of Deltoidal Hexecontahedron=45/11*sqrt((370+(164*sqrt(5)))/25)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3

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

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

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

Volume of Deltoidal Hexecontahedron 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 Hexecontahedron given Insphere Radius can be measured.

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