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Midsphere Radius of Deltoidal Icositetrahedron given Volume Formula

GoMidsphere Radius of Deltoidal Icositetrahedron Formula

GoMidsphere Radius of Deltoidal Icositetrahedron given Short Edge Formula

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

r m = \frac{1 + \sqrt{2}}{2} \cdot {(\frac{7 \cdot V}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

r_m - Midsphere Radius of Deltoidal Icositetrahedron?V - Volume of Deltoidal Icositetrahedron?

Midsphere Radius of Deltoidal Icositetrahedron given Volume Example

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

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

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

24.1414 = \frac{1 + \sqrt{2}}{2} \cdot {(\frac{7 \cdot 55200}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

24.1414m = \frac{1 + \sqrt{2}}{2} \cdot {(\frac{7 \cdot 55200m³}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

24.1414 = \frac{1 + \sqrt{2}}{2} \cdot {(\frac{7 \cdot 55200}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

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Midsphere Radius of Deltoidal Icositetrahedron given Volume Solution

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

FIRST Step Consider the formula

r m = \frac{1 + \sqrt{2}}{2} \cdot {(\frac{7 \cdot V}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot {(\frac{7 \cdot 55200m³}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot {(\frac{7 \cdot 55200}{2 \cdot \sqrt{292 + (206 \cdot \sqrt{2})}})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 24.141407891715m

LAST Step Rounding Answer

∴

r m = 24.1414m

Midsphere Radius of Deltoidal Icositetrahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Deltoidal Icositetrahedron

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

Volume of Deltoidal Icositetrahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Deltoidal Icositetrahedron

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 Deltoidal Icositetrahedron

Go Midsphere Radius of Deltoidal Icositetrahedron

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

Go Midsphere Radius of Deltoidal Icositetrahedron given Short Edge

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot l e(Short)}{4 + \sqrt{2}}

Go Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{7 \cdot d Symmetry}{\sqrt{46 + (15 \cdot \sqrt{2})}}

Go Midsphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{2 \cdot d Non Symmetry}{\sqrt{4 + (2 \cdot \sqrt{2})}}

How to Evaluate Midsphere Radius of Deltoidal Icositetrahedron given Volume?

Midsphere Radius of Deltoidal Icositetrahedron given Volume evaluator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) to evaluate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using volume of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Deltoidal Icositetrahedron given Volume

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

The formula of Midsphere Radius of Deltoidal Icositetrahedron given Volume is expressed as Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3). Here is an example- 24.14141 = (1+sqrt(2))/2*((7*55200)/(2*sqrt(292+(206*sqrt(2)))))^(1/3).

How to calculate Midsphere Radius of Deltoidal Icositetrahedron given Volume?

With Volume of Deltoidal Icositetrahedron (V) we can find Midsphere Radius of Deltoidal Icositetrahedron given Volume using the formula - Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*Long Edge of Deltoidal Icositetrahedron
Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Midsphere Radius of Deltoidal Icositetrahedron=(1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

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

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

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

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

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