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Insphere Radius of Triakis Icosahedron given Volume Formula

GoInsphere Radius of Triakis Icosahedron Formula

GoInsphere Radius of Triakis Icosahedron given Pyramidal Edge Length Formula

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

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

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

Insphere Radius of Triakis Icosahedron given Volume Example

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

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

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

6.3769 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot 1200}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

6.3769m = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot 1200m³}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

6.3769 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot 1200}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

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Insphere Radius of Triakis Icosahedron given Volume Solution

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

FIRST Step Consider the formula

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot 1200m³}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot 1200}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Evaluate

∴

r i = 6.37689584566706m

LAST Step Rounding Answer

∴

r i = 6.3769m

Insphere Radius of Triakis Icosahedron given Volume Formula Elements

Variables

Functions

Insphere Radius of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis 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 Triakis Icosahedron

Volume of Triakis Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triakis 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 Triakis Icosahedron

Go Insphere Radius of Triakis Icosahedron

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot l e(Icosahedron)

Go Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})

Go Insphere Radius of Triakis Icosahedron given Total Surface Area

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Go Insphere Radius of Triakis Icosahedron given Midsphere Radius

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{4 \cdot r m}{1 + \sqrt{5}})

How to Evaluate Insphere Radius of Triakis Icosahedron given Volume?

Insphere Radius of Triakis Icosahedron given Volume evaluator uses Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)) to evaluate the Insphere Radius of Triakis Icosahedron, Insphere Radius of Triakis Icosahedron given Volume formula is defined as the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere, calculated using volume of Triakis Icosahedron. Insphere Radius of Triakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Triakis Icosahedron given Volume

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

The formula of Insphere Radius of Triakis Icosahedron given Volume is expressed as Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)). Here is an example- 6.376896 = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(((44*1200)/(5*(5+(7*sqrt(5)))))^(1/3)).

How to calculate Insphere Radius of Triakis Icosahedron given Volume?

With Volume of Triakis Icosahedron (V) we can find Insphere Radius of Triakis Icosahedron given Volume using the formula - Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

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

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

Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*Icosahedral Edge Length of Triakis Icosahedron
Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))
Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5)))))))

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

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

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

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

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