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Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio 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{6}{AV} \cdot \sqrt{\frac{61 + (38 \cdot \sqrt{2})}{292 + (206 \cdot \sqrt{2})}}

r_m - Midsphere Radius of Deltoidal Icositetrahedron?AV - SA:V of Deltoidal Icositetrahedron?

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio Example

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

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

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

32.1217 = \frac{1 + \sqrt{2}}{2} \cdot \frac{6}{0.1} \cdot \sqrt{\frac{61 + (38 \cdot \sqrt{2})}{292 + (206 \cdot \sqrt{2})}}

32.1217m = \frac{1 + \sqrt{2}}{2} \cdot \frac{6}{0.1m⁻¹} \cdot \sqrt{\frac{61 + (38 \cdot \sqrt{2})}{292 + (206 \cdot \sqrt{2})}}

32.1217 = \frac{1 + \sqrt{2}}{2} \cdot \frac{6}{0.1} \cdot \sqrt{\frac{61 + (38 \cdot \sqrt{2})}{292 + (206 \cdot \sqrt{2})}}

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Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{6}{AV} \cdot \sqrt{\frac{61 + (38 \cdot \sqrt{2})}{292 + (206 \cdot \sqrt{2})}}

Next Step Substitute values of Variables

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{6}{0.1m⁻¹} \cdot \sqrt{\frac{61 + (38 \cdot \sqrt{2})}{292 + (206 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

r m = \frac{1 + \sqrt{2}}{2} \cdot \frac{6}{0.1} \cdot \sqrt{\frac{61 + (38 \cdot \sqrt{2})}{292 + (206 \cdot \sqrt{2})}}

Next Step Evaluate

∴

r m = 32.1216741230287m

LAST Step Rounding Answer

∴

r m = 32.1217m

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio 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

SA:V of Deltoidal Icositetrahedron

SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Surface to Volume Ratio?

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio evaluator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) to evaluate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio 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 surface to volume ratio of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio

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

The formula of Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio is expressed as Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))). Here is an example- 32.12167 = (1+sqrt(2))/2*6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))).

How to calculate Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio?

With SA:V of Deltoidal Icositetrahedron (AV) we can find Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio using the formula - Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))). 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 Surface to Volume Ratio be negative?

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

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

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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