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Midsphere Radius of Octahedron given Volume Formula

GoMidsphere Radius of Octahedron Formula

GoMidsphere Radius of Octahedron given Circumsphere Radius Formula

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

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

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

Midsphere Radius of Octahedron given Volume Example

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

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

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

4.995 = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{2}

4.995m = \frac{{(\frac{3 \cdot 470m³}{\sqrt{2}})}^{\frac{1}{3}}}{2}

4.995 = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{2}

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Midsphere Radius of Octahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{{(\frac{3 \cdot 470m³}{\sqrt{2}})}^{\frac{1}{3}}}{2}

Next Step Prepare to Evaluate

∴

r m = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{2}

Next Step Evaluate

∴

r m = 4.99502932924568m

LAST Step Rounding Answer

∴

r m = 4.995m

Midsphere Radius of Octahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Octahedron

Midsphere Radius of Octahedron is the radius of the sphere for which all the edges of the Octahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Octahedron

Volume of Octahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Octahedron

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 Octahedron

Go Midsphere Radius of Octahedron

r m = \frac{l e}{2}

Go Midsphere Radius of Octahedron given Circumsphere Radius

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

Go Midsphere Radius of Octahedron given Insphere Radius

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

Go Midsphere Radius of Octahedron given Surface to Volume Ratio

r m = \frac{3 \cdot \sqrt{6}}{2 \cdot R A/V}

How to Evaluate Midsphere Radius of Octahedron given Volume?

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

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

FAQs on Midsphere Radius of Octahedron given Volume

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

The formula of Midsphere Radius of Octahedron given Volume is expressed as Midsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/2. Here is an example- 4.995029 = ((3*470)/sqrt(2))^(1/3)/2.

How to calculate Midsphere Radius of Octahedron given Volume?

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

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

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

Midsphere Radius of Octahedron=Edge Length of Octahedron/2
Midsphere Radius of Octahedron=Circumsphere Radius of Octahedron/sqrt(2)
Midsphere Radius of Octahedron=sqrt(3/2)*Insphere Radius of Octahedron

Can the Midsphere Radius of Octahedron given Volume be negative?

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

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

Midsphere Radius of Octahedron 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 Octahedron given Volume can be measured.

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