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Midsphere Radius of Pentagonal Icositetrahedron given Volume Formula

GoMidsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoMidsphere Radius of Pentagonal Icositetrahedron given Short Edge Formula

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

r m = \frac{1}{2 \cdot \sqrt{2 - [Tribonacci_C]}} \cdot V^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}}

r_m - Midsphere Radius of Pentagonal Icositetrahedron?V - Volume of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Midsphere Radius of Pentagonal Icositetrahedron given Volume Example

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Here is how the Midsphere Radius of Pentagonal Icositetrahedron given Volume equation looks like with Values.

Here is how the Midsphere Radius of Pentagonal Icositetrahedron given Volume equation looks like with Units.

Here is how the Midsphere Radius of Pentagonal Icositetrahedron given Volume equation looks like.

12.5015 = \frac{1}{2 \cdot \sqrt{2 - 1.8393}} \cdot 7500^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}}

12.5015m = \frac{1}{2 \cdot \sqrt{2 - 1.8393}} \cdot {7500m³}^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}}

12.5015 = \frac{1}{2 \cdot \sqrt{2 - 1.8393}} \cdot 7500^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}}

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Midsphere Radius of Pentagonal Icositetrahedron given Volume Solution

Follow our step by step solution on how to calculate Midsphere Radius of Pentagonal Icositetrahedron given Volume?

FIRST Step Consider the formula

r m = \frac{1}{2 \cdot \sqrt{2 - [Tribonacci_C]}} \cdot V^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}}

Next Step Substitute values of Variables

∴

r m = \frac{1}{2 \cdot \sqrt{2 - [Tribonacci_C]}} \cdot {7500m³}^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}}

Next Step Substitute values of Constants

∴

r m = \frac{1}{2 \cdot \sqrt{2 - 1.8393}} \cdot {7500m³}^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}}

Next Step Prepare to Evaluate

∴

r m = \frac{1}{2 \cdot \sqrt{2 - 1.8393}} \cdot 7500^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}}

Next Step Evaluate

∴

r m = 12.5015287526992m

LAST Step Rounding Answer

∴

r m = 12.5015m

Midsphere Radius of Pentagonal Icositetrahedron given Volume Formula Elements

Variables

Constants

Functions

Midsphere Radius of Pentagonal Icositetrahedron

Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron 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 Pentagonal Icositetrahedron

Volume of Pentagonal Icositetrahedron

Volume of Pentagonal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Icositetrahedron

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

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 Pentagonal Icositetrahedron

Go Midsphere Radius of Pentagonal Icositetrahedron given Long Edge

r m = \frac{1}{\sqrt{2 - [Tribonacci_C]}} \cdot (\frac{l e(Long)}{\sqrt{[Tribonacci_C] + 1}})

Go Midsphere Radius of Pentagonal Icositetrahedron given Short Edge

r m = \frac{\sqrt{[Tribonacci_C] + 1} \cdot l e(Short)}{2 \cdot \sqrt{2 - [Tribonacci_C]}}

Go Midsphere Radius of Pentagonal Icositetrahedron

r m = \frac{l e(Snub Cube)}{2 \cdot \sqrt{2 - [Tribonacci_C]}}

Go Midsphere Radius of Pentagonal Icositetrahedron given Total Surface Area

r m = \frac{1}{2 \cdot \sqrt{2 - [Tribonacci_C]}} \cdot (\sqrt{\frac{TSA}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}})

How to Evaluate Midsphere Radius of Pentagonal Icositetrahedron given Volume?

Midsphere Radius of Pentagonal Icositetrahedron given Volume evaluator uses Midsphere Radius of Pentagonal Icositetrahedron = 1/(2*sqrt(2-[Tribonacci_C]))*Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6) to evaluate the Midsphere Radius of Pentagonal Icositetrahedron, Midsphere Radius of Pentagonal Icositetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere, calculated using the volume of Pentagonal Icositetrahedron. Midsphere Radius of Pentagonal Icositetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Pentagonal Icositetrahedron given Volume

What is the formula to find Midsphere Radius of Pentagonal Icositetrahedron given Volume?

The formula of Midsphere Radius of Pentagonal Icositetrahedron given Volume is expressed as Midsphere Radius of Pentagonal Icositetrahedron = 1/(2*sqrt(2-[Tribonacci_C]))*Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6). Here is an example- 12.50153 = 1/(2*sqrt(2-[Tribonacci_C]))*7500^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6).

How to calculate Midsphere Radius of Pentagonal Icositetrahedron given Volume?

With Volume of Pentagonal Icositetrahedron (V) we can find Midsphere Radius of Pentagonal Icositetrahedron given Volume using the formula - Midsphere Radius of Pentagonal Icositetrahedron = 1/(2*sqrt(2-[Tribonacci_C]))*Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6). This formula also uses Tribonacci constant, Tribonacci constant, Tribonacci constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Pentagonal Icositetrahedron?

Here are the different ways to Calculate Midsphere Radius of Pentagonal Icositetrahedron-

Midsphere Radius of Pentagonal Icositetrahedron=1/sqrt(2-[Tribonacci_C])*((Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))
Midsphere Radius of Pentagonal Icositetrahedron=(sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)/(2*sqrt(2-[Tribonacci_C]))
Midsphere Radius of Pentagonal Icositetrahedron=Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C]))

Can the Midsphere Radius of Pentagonal Icositetrahedron given Volume be negative?

No, the Midsphere Radius of Pentagonal Icositetrahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Pentagonal Icositetrahedron given Volume?

Midsphere Radius of Pentagonal Icositetrahedron 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 Pentagonal Icositetrahedron given Volume can be measured.

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Midsphere Radius of Pentagonal Icositetrahedron given Volume Formula

​GoMidsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

​GoMidsphere Radius of Pentagonal Icositetrahedron given Short Edge Formula

Midsphere Radius of Pentagonal Icositetrahedron given Volume Example

Midsphere Radius of Pentagonal Icositetrahedron given Volume Solution

Midsphere Radius of Pentagonal Icositetrahedron given Volume Formula Elements

Other Formulas to find Midsphere Radius of Pentagonal Icositetrahedron

How to Evaluate Midsphere Radius of Pentagonal Icositetrahedron given Volume?

FAQs on Midsphere Radius of Pentagonal Icositetrahedron given Volume

Variable Name

GoMidsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoMidsphere Radius of Pentagonal Icositetrahedron given Short Edge Formula