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Midsphere Radius of Cuboctahedron given Surface to Volume Ratio Formula

GoMidsphere Radius of Cuboctahedron Formula

GoMidsphere Radius of Cuboctahedron given Total Surface Area Formula

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Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere. Check FAQs

r m = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V}

r_m - Midsphere Radius of Cuboctahedron?R_A/V - Surface to Volume Ratio of Cuboctahedron?

Midsphere Radius of Cuboctahedron given Surface to Volume Ratio Example

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

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

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

8.6933 = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

8.6933m = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4m⁻¹}

8.6933 = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

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Midsphere Radius of Cuboctahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r m = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V}

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

Next Step Evaluate

∴

r m = 8.69333243660161m

LAST Step Rounding Answer

∴

r m = 8.6933m

Midsphere Radius of Cuboctahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Midsphere Radius of Cuboctahedron

Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Cuboctahedron

Surface to Volume Ratio of Cuboctahedron

Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Cuboctahedron

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 Cuboctahedron

Go Midsphere Radius of Cuboctahedron

r m = \frac{\sqrt{3}}{2} \cdot l e

Go Midsphere Radius of Cuboctahedron given Total Surface Area

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (3 + \sqrt{3})}}

Go Midsphere Radius of Cuboctahedron given Volume

r m = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot V}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

Go Midsphere Radius of Cuboctahedron given Circumsphere Radius

r m = \frac{\sqrt{3}}{2} \cdot r c

How to Evaluate Midsphere Radius of Cuboctahedron given Surface to Volume Ratio?

Midsphere Radius of Cuboctahedron given Surface to Volume Ratio evaluator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron) to evaluate the Midsphere Radius of Cuboctahedron, The Midsphere Radius of Cuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using surface to volume ratio of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Cuboctahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Midsphere Radius of Cuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Cuboctahedron (R_A/V) and hit the calculate button.

FAQs on Midsphere Radius of Cuboctahedron given Surface to Volume Ratio

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

The formula of Midsphere Radius of Cuboctahedron given Surface to Volume Ratio is expressed as Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron). Here is an example- 8.693332 = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*0.4).

How to calculate Midsphere Radius of Cuboctahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Cuboctahedron (R_A/V) we can find Midsphere Radius of Cuboctahedron given Surface to Volume Ratio using the formula - Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Cuboctahedron?

Here are the different ways to Calculate Midsphere Radius of Cuboctahedron-

Midsphere Radius of Cuboctahedron=sqrt(3)/2*Edge Length of Cuboctahedron
Midsphere Radius of Cuboctahedron=sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Midsphere Radius of Cuboctahedron=sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

Can the Midsphere Radius of Cuboctahedron given Surface to Volume Ratio be negative?

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

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

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

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