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Midsphere Radius of Hexakis Octahedron given Volume Formula

GoMidsphere Radius of Hexakis Octahedron Formula

GoMidsphere Radius of Hexakis Octahedron given Medium Edge Formula

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

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

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

Midsphere Radius of Hexakis Octahedron given Volume Example

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

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

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

19.1301 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

19.1301m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot 30000m³}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

19.1301 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

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Midsphere Radius of Hexakis Octahedron given Volume Solution

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

FIRST Step Consider the formula

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot 30000m³}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot 30000}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

Next Step Evaluate

∴

r m = 19.1301339159469m

LAST Step Rounding Answer

∴

r m = 19.1301m

Midsphere Radius of Hexakis Octahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Hexakis Octahedron

Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron 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 Hexakis Octahedron

Volume of Hexakis Octahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis 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 Hexakis Octahedron

Go Midsphere Radius of Hexakis Octahedron

r m = (\frac{l e(Long)}{4}) \cdot (1 + (2 \cdot \sqrt{2}))

Go Midsphere Radius of Hexakis Octahedron given Medium Edge

r m = \frac{7 \cdot l e(Medium)}{6}

Go Midsphere Radius of Hexakis Octahedron given Short Edge

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})

Go Midsphere Radius of Hexakis Octahedron given Total Surface Area

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

How to Evaluate Midsphere Radius of Hexakis Octahedron given Volume?

Midsphere Radius of Hexakis Octahedron given Volume evaluator uses Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) to evaluate the Midsphere Radius of Hexakis Octahedron, The Midsphere Radius of Hexakis Octahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere, calculated using the volume of Hexakis Octahedron. Midsphere Radius of Hexakis Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Hexakis Octahedron given Volume

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

The formula of Midsphere Radius of Hexakis Octahedron given Volume is expressed as Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). Here is an example- 19.13013 = ((1+(2*sqrt(2)))/4)*(((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)).

How to calculate Midsphere Radius of Hexakis Octahedron given Volume?

With Volume of Hexakis Octahedron (V) we can find Midsphere Radius of Hexakis Octahedron given Volume using the formula - Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Hexakis Octahedron=(Long Edge of Hexakis Octahedron/4)*(1+(2*sqrt(2)))
Midsphere Radius of Hexakis Octahedron=(7*Medium Edge of Hexakis Octahedron)/6
Midsphere Radius of Hexakis Octahedron=((1+(2*sqrt(2)))/4)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))

Can the Midsphere Radius of Hexakis Octahedron given Volume be negative?

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

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

Midsphere Radius of Hexakis 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 Hexakis Octahedron given Volume can be measured.

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