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Insphere Radius of Deltoidal Hexecontahedron given Volume Formula

GoInsphere Radius of Deltoidal Hexecontahedron Formula

GoInsphere Radius of Deltoidal Hexecontahedron given Short Edge Formula

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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. Check FAQs

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot {(\frac{11 \cdot V}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

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

Insphere Radius of Deltoidal Hexecontahedron given Volume Example

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

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

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

17.1144 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot {(\frac{11 \cdot 22200}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

17.1144m = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot {(\frac{11 \cdot 22200m³}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

17.1144 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot {(\frac{11 \cdot 22200}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

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Insphere Radius of Deltoidal Hexecontahedron given Volume Solution

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

FIRST Step Consider the formula

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot {(\frac{11 \cdot V}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot {(\frac{11 \cdot 22200m³}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot {(\frac{11 \cdot 22200}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

Next Step Evaluate

∴

r i = 17.1144331817237m

LAST Step Rounding Answer

∴

r i = 17.1144m

Insphere Radius of Deltoidal Hexecontahedron given Volume Formula Elements

Variables

Functions

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

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

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 Hexecontahedron

Go Insphere Radius of Deltoidal Hexecontahedron

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot l e(Long)

Go Insphere Radius of Deltoidal Hexecontahedron given Short Edge

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})}

Go Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

How to Evaluate Insphere Radius of Deltoidal Hexecontahedron given Volume?

Insphere Radius of Deltoidal Hexecontahedron given Volume evaluator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) to evaluate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Volume formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using volume of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Deltoidal Hexecontahedron given Volume

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

The formula of Insphere Radius of Deltoidal Hexecontahedron given Volume is expressed as Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). Here is an example- 17.11443 = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*22200)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3).

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Volume?

With Volume of Deltoidal Hexecontahedron (V) we can find Insphere Radius of Deltoidal Hexecontahedron given Volume using the formula - Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron
Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Insphere Radius of Deltoidal Hexecontahedron=3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

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

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

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

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

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