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Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio 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{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{R A/V \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

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

Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio Example

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

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

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

15.3618 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

15.3618m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2m⁻¹ \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

15.3618 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

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Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{R A/V \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

Next Step Substitute values of Variables

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2m⁻¹ \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{12 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}{0.2 \cdot (\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))})})

Next Step Evaluate

∴

r m = 15.3617543173136m

LAST Step Rounding Answer

∴

r m = 15.3618m

Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Hexakis Octahedron

Surface to Volume Ratio of Hexakis Octahedron is what part of or fraction of total volume of Hexakis Octahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio evaluator uses Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2))))))) to evaluate the Midsphere Radius of Hexakis Octahedron, The Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio 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 surface-to-volume ratio of Hexakis Octahedron. Midsphere Radius of Hexakis Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio

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

The formula of Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio is expressed as Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2))))))). Here is an example- 15.36175 = ((1+(2*sqrt(2)))/4)*((12*sqrt(543+(176*sqrt(2))))/(0.2*(sqrt(6*(986+(607*sqrt(2))))))).

How to calculate Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Hexakis Octahedron (R_A/V) we can find Midsphere Radius of Hexakis Octahedron given Surface to Volume Ratio using the formula - Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((12*sqrt(543+(176*sqrt(2))))/(Surface to Volume Ratio of Hexakis Octahedron*(sqrt(6*(986+(607*sqrt(2))))))). This formula also uses Square Root Function 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 Surface to Volume Ratio be negative?

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

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

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

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