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Insphere Radius of Octahedron given Surface to Volume Ratio Formula

GoInsphere Radius of Octahedron Formula

GoInsphere Radius of Octahedron given Midsphere Radius Formula

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Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere. Check FAQs

r i = \frac{3}{R A/V}

r_i - Insphere Radius of Octahedron?R_A/V - Surface to Volume Ratio of Octahedron?

Insphere Radius of Octahedron given Surface to Volume Ratio Example

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

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

Here is how the Insphere Radius of Octahedron given Surface to Volume Ratio equation looks like.

4.2857 = \frac{3}{0.7}

4.2857m = \frac{3}{0.7m⁻¹}

4.2857 = \frac{3}{0.7}

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Insphere Radius of Octahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r i = \frac{3}{R A/V}

Next Step Substitute values of Variables

∴

r i = \frac{3}{0.7m⁻¹}

Next Step Prepare to Evaluate

∴

r i = \frac{3}{0.7}

Next Step Evaluate

∴

r i = 4.28571428571429m

LAST Step Rounding Answer

∴

r i = 4.2857m

Insphere Radius of Octahedron given Surface to Volume Ratio Formula Elements

Variables

Insphere Radius of Octahedron

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Octahedron

Surface to Volume Ratio of Octahedron

The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Octahedron

Other Formulas to find Insphere Radius of Octahedron

Go Insphere Radius of Octahedron

r i = \frac{l e}{\sqrt{6}}

Go Insphere Radius of Octahedron given Midsphere Radius

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

Go Insphere Radius of Octahedron given Space Diagonal

r i = \frac{d Space}{2 \cdot \sqrt{3}}

Go Insphere Radius of Octahedron given Circumsphere Radius

r i = \frac{r c}{\sqrt{3}}

How to Evaluate Insphere Radius of Octahedron given Surface to Volume Ratio?

Insphere Radius of Octahedron given Surface to Volume Ratio evaluator uses Insphere Radius of Octahedron = 3/Surface to Volume Ratio of Octahedron to evaluate the Insphere Radius of Octahedron, Insphere Radius of Octahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that is contained by the Octahedron in such a way that all the faces just touch the sphere, and is calculated using the surface to volume ratio of the Octahedron. Insphere Radius of Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Octahedron given Surface to Volume Ratio

What is the formula to find Insphere Radius of Octahedron given Surface to Volume Ratio?

The formula of Insphere Radius of Octahedron given Surface to Volume Ratio is expressed as Insphere Radius of Octahedron = 3/Surface to Volume Ratio of Octahedron. Here is an example- 4.285714 = 3/0.7.

How to calculate Insphere Radius of Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Octahedron (R_A/V) we can find Insphere Radius of Octahedron given Surface to Volume Ratio using the formula - Insphere Radius of Octahedron = 3/Surface to Volume Ratio of Octahedron.

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

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

Insphere Radius of Octahedron=Edge Length of Octahedron/sqrt(6)
Insphere Radius of Octahedron=sqrt(2/3)*Midsphere Radius of Octahedron
Insphere Radius of Octahedron=Space Diagonal of Octahedron/(2*sqrt(3))

Can the Insphere Radius of Octahedron given Surface to Volume Ratio be negative?

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

Which unit is used to measure Insphere Radius of Octahedron given Surface to Volume Ratio?

Insphere Radius of Octahedron 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 Insphere Radius of Octahedron given Surface to Volume Ratio can be measured.

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