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Midsphere Radius of Rhombicuboctahedron given Volume Formula

GoMidsphere Radius of Rhombicuboctahedron Formula

GoMidsphere Radius of Rhombicuboctahedron given Total Surface Area Formula

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

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

r_m - Midsphere Radius of Rhombicuboctahedron?V - Volume of Rhombicuboctahedron?

Midsphere Radius of Rhombicuboctahedron given Volume Example

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

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

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

13.0586 = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot 8700}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

13.0586m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot 8700m³}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

13.0586 = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot 8700}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

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Midsphere Radius of Rhombicuboctahedron given Volume Solution

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

FIRST Step Consider the formula

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot 8700m³}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot 8700}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 13.0586061917358m

LAST Step Rounding Answer

∴

r m = 13.0586m

Midsphere Radius of Rhombicuboctahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron 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 Rhombicuboctahedron

Volume of Rhombicuboctahedron

Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombicuboctahedron

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 Rhombicuboctahedron

Go Midsphere Radius of Rhombicuboctahedron

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

Go Midsphere Radius of Rhombicuboctahedron given Total Surface Area

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}}

Go Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius

r m = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{r c}{\sqrt{5 + (2 \cdot \sqrt{2})}}

Go Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))}

How to Evaluate Midsphere Radius of Rhombicuboctahedron given Volume?

Midsphere Radius of Rhombicuboctahedron given Volume evaluator uses Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3) to evaluate the Midsphere Radius of Rhombicuboctahedron, Midsphere Radius of Rhombicuboctahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere, and calculated using the volume of the Rhombicuboctahedron. Midsphere Radius of Rhombicuboctahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Rhombicuboctahedron given Volume

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

The formula of Midsphere Radius of Rhombicuboctahedron given Volume is expressed as Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3). Here is an example- 13.05861 = sqrt(4+(2*sqrt(2)))/2*((3*8700)/(2*(6+(5*sqrt(2)))))^(1/3).

How to calculate Midsphere Radius of Rhombicuboctahedron given Volume?

With Volume of Rhombicuboctahedron (V) we can find Midsphere Radius of Rhombicuboctahedron given Volume using the formula - Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Rhombicuboctahedron=sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
Midsphere Radius of Rhombicuboctahedron=sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Midsphere Radius of Rhombicuboctahedron=sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2))))

Can the Midsphere Radius of Rhombicuboctahedron given Volume be negative?

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

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

Midsphere Radius of Rhombicuboctahedron 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 Rhombicuboctahedron given Volume can be measured.

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