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Insphere Radius of Hexakis Icosahedron given Volume Formula

GoInsphere Radius of Hexakis Icosahedron Formula

GoInsphere Radius of Hexakis Icosahedron given Medium Edge Formula

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Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot ({(\frac{88 \cdot V}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

r_i - Insphere Radius of Hexakis Icosahedron?V - Volume of Hexakis Icosahedron?

Insphere Radius of Hexakis Icosahedron given Volume Example

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Here is how the Insphere Radius of Hexakis Icosahedron given Volume equation looks like with Values.

Here is how the Insphere Radius of Hexakis Icosahedron given Volume equation looks like with Units.

Here is how the Insphere Radius of Hexakis Icosahedron given Volume equation looks like.

14.488 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot ({(\frac{88 \cdot 13300}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

14.488m = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot ({(\frac{88 \cdot 13300m³}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

14.488 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot ({(\frac{88 \cdot 13300}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

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Insphere Radius of Hexakis Icosahedron given Volume Solution

Follow our step by step solution on how to calculate Insphere Radius of Hexakis Icosahedron given Volume?

FIRST Step Consider the formula

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot ({(\frac{88 \cdot V}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot ({(\frac{88 \cdot 13300m³}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot ({(\frac{88 \cdot 13300}{25 \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))})})}^{\frac{1}{3}})

Next Step Evaluate

∴

r i = 14.4879632258704m

LAST Step Rounding Answer

∴

r i = 14.488m

Insphere Radius of Hexakis Icosahedron given Volume Formula Elements

Variables

Functions

Insphere Radius of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron 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 Hexakis Icosahedron

Volume of Hexakis Icosahedron

Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron .

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis Icosahedron

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 Hexakis Icosahedron

Go Insphere Radius of Hexakis Icosahedron

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot l e(Long)

Go Insphere Radius of Hexakis Icosahedron given Medium Edge

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Insphere Radius of Hexakis Icosahedron given Short Edge

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})

Go Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{2}{5}) \cdot (l e(Truncated Icosidodecahedron)) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

How to Evaluate Insphere Radius of Hexakis Icosahedron given Volume?

Insphere Radius of Hexakis Icosahedron given Volume evaluator uses Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)) to evaluate the Insphere Radius of Hexakis Icosahedron, Insphere Radius of Hexakis Icosahedron given Volume formula is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touch the sphere, calculated using volume of Hexakis Icosahedron. Insphere Radius of Hexakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Hexakis Icosahedron given Volume

What is the formula to find Insphere Radius of Hexakis Icosahedron given Volume?

The formula of Insphere Radius of Hexakis Icosahedron given Volume is expressed as Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)). Here is an example- 14.48796 = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(((88*13300)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)).

How to calculate Insphere Radius of Hexakis Icosahedron given Volume?

With Volume of Hexakis Icosahedron (V) we can find Insphere Radius of Hexakis Icosahedron given Volume using the formula - Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(((88*Volume of Hexakis Icosahedron)/(25*(sqrt(6*(185+(82*sqrt(5)))))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Hexakis Icosahedron?

Here are the different ways to Calculate Insphere Radius of Hexakis Icosahedron-

Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron
Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))

Can the Insphere Radius of Hexakis Icosahedron given Volume be negative?

No, the Insphere Radius of Hexakis Icosahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Hexakis Icosahedron given Volume?

Insphere Radius of Hexakis Icosahedron 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 Hexakis Icosahedron given Volume can be measured.

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