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Midsphere Radius of Triakis Icosahedron given Volume Formula

GoMidsphere Radius of Triakis Icosahedron Formula

GoMidsphere Radius of Triakis Icosahedron given Pyramidal Edge Length Formula

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Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere. Check FAQs

r m = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

r_m - Midsphere Radius of Triakis Icosahedron?V - Volume of Triakis Icosahedron?

Midsphere Radius of Triakis Icosahedron given Volume Example

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

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

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

6.4693 = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot 1200}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

6.4693m = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot 1200m³}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

6.4693 = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot 1200}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

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Midsphere Radius of Triakis Icosahedron given Volume Solution

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

FIRST Step Consider the formula

r m = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

r m = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot 1200m³}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot 1200}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Next Step Evaluate

∴

r m = 6.4692645267709m

LAST Step Rounding Answer

∴

r m = 6.4693m

Midsphere Radius of Triakis Icosahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Triakis Icosahedron

Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Midsphere Radius of Triakis Icosahedron

Go Midsphere Radius of Triakis Icosahedron

r m = (\frac{1 + \sqrt{5}}{4}) \cdot l e(Icosahedron)

Go Midsphere Radius of Triakis Icosahedron given Pyramidal Edge Length

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})

Go Midsphere Radius of Triakis Icosahedron given Total Surface Area

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Go Midsphere Radius of Triakis Icosahedron given Insphere Radius

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

How to Evaluate Midsphere Radius of Triakis Icosahedron given Volume?

Midsphere Radius of Triakis Icosahedron given Volume evaluator uses Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/4)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)) to evaluate the Midsphere Radius of Triakis Icosahedron, Midsphere Radius of Triakis Icosahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere, calculated using volume of Triakis Icosahedron. Midsphere Radius of Triakis Icosahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Triakis Icosahedron given Volume

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

The formula of Midsphere Radius of Triakis Icosahedron given Volume is expressed as Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/4)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)). Here is an example- 6.469265 = ((1+sqrt(5))/4)*(((44*1200)/(5*(5+(7*sqrt(5)))))^(1/3)).

How to calculate Midsphere Radius of Triakis Icosahedron given Volume?

With Volume of Triakis Icosahedron (V) we can find Midsphere Radius of Triakis Icosahedron given Volume using the formula - Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/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 Midsphere Radius of Triakis Icosahedron?

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

Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*Icosahedral Edge Length of Triakis Icosahedron
Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))
Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5)))))))

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

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

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

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

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