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Midsphere Radius of Hexakis Icosahedron given Volume Formula

GoMidsphere Radius of Hexakis Icosahedron given Short Edge Formula

GoMidsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

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

r m = \frac{1}{8} \cdot {(\frac{88}{25} \cdot \frac{V}{\sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot (5 + 3 \cdot \sqrt{5})

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

Midsphere Radius of Hexakis Icosahedron given Volume Example

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

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

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

14.6149 = \frac{1}{8} \cdot {(\frac{88}{25} \cdot \frac{13300}{\sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot (5 + 3 \cdot \sqrt{5})

14.6149m = \frac{1}{8} \cdot {(\frac{88}{25} \cdot \frac{13300m³}{\sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot (5 + 3 \cdot \sqrt{5})

14.6149 = \frac{1}{8} \cdot {(\frac{88}{25} \cdot \frac{13300}{\sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot (5 + 3 \cdot \sqrt{5})

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Midsphere Radius of Hexakis Icosahedron given Volume Solution

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

FIRST Step Consider the formula

r m = \frac{1}{8} \cdot {(\frac{88}{25} \cdot \frac{V}{\sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot (5 + 3 \cdot \sqrt{5})

Next Step Substitute values of Variables

∴

r m = \frac{1}{8} \cdot {(\frac{88}{25} \cdot \frac{13300m³}{\sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot (5 + 3 \cdot \sqrt{5})

Next Step Prepare to Evaluate

∴

r m = \frac{1}{8} \cdot {(\frac{88}{25} \cdot \frac{13300}{\sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot (5 + 3 \cdot \sqrt{5})

Next Step Evaluate

∴

r m = 14.6148686678298m

LAST Step Rounding Answer

∴

r m = 14.6149m

Midsphere Radius of Hexakis Icosahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis 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 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 Midsphere Radius of Hexakis Icosahedron

Go Midsphere Radius of Hexakis Icosahedron given Short Edge

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})

Go Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (l e(Truncated Icosidodecahedron)) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

Go Midsphere Radius of Hexakis Icosahedron given Medium Edge

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Midsphere Radius of Hexakis Icosahedron

r m = \frac{l e(Long)}{8} \cdot (5 + 3 \cdot \sqrt{5})

How to Evaluate Midsphere Radius of Hexakis Icosahedron given Volume?

Midsphere Radius of Hexakis Icosahedron given Volume evaluator uses Midsphere Radius of Hexakis Icosahedron = 1/8*(88/25*Volume of Hexakis Icosahedron/sqrt(6*(185+82*sqrt(5))))^(1/3)*(5+3*sqrt(5)) to evaluate the Midsphere Radius of Hexakis Icosahedron, The Midsphere Radius of Hexakis Icosahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using volume of Hexakis Icosahedron. Midsphere Radius of Hexakis Icosahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Hexakis Icosahedron given Volume

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

The formula of Midsphere Radius of Hexakis Icosahedron given Volume is expressed as Midsphere Radius of Hexakis Icosahedron = 1/8*(88/25*Volume of Hexakis Icosahedron/sqrt(6*(185+82*sqrt(5))))^(1/3)*(5+3*sqrt(5)). Here is an example- 14.61487 = 1/8*(88/25*13300/sqrt(6*(185+82*sqrt(5))))^(1/3)*(5+3*sqrt(5)).

How to calculate Midsphere Radius of Hexakis Icosahedron given Volume?

With Volume of Hexakis Icosahedron (V) we can find Midsphere Radius of Hexakis Icosahedron given Volume using the formula - Midsphere Radius of Hexakis Icosahedron = 1/8*(88/25*Volume of Hexakis Icosahedron/sqrt(6*(185+82*sqrt(5))))^(1/3)*(5+3*sqrt(5)). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

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

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

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

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

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