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Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius Formula

GoSurface to Volume Ratio of Deltoidal Hexecontahedron Formula

GoSurface to Volume Ratio of Deltoidal Hexecontahedron given Short Edge Formula

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SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area. Check FAQs

AV = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}{2 \cdot r i}

AV - SA:V of Deltoidal Hexecontahedron?r_i - Insphere Radius of Deltoidal Hexecontahedron?

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius Example

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

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

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

0.1765 = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}{2 \cdot 17}

0.1765m⁻¹ = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}{2 \cdot 17m}

0.1765 = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}{2 \cdot 17}

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3D Geometry » fx Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

AV = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}{2 \cdot r i}

Next Step Substitute values of Variables

∴

AV = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}{2 \cdot 17m}

Next Step Prepare to Evaluate

∴

AV = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}}}{2 \cdot 17}

Next Step Evaluate

∴

AV = 0.176470588235294m⁻¹

LAST Step Rounding Answer

∴

AV = 0.1765m⁻¹

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius Formula Elements

Variables

Functions

SA:V of Deltoidal Hexecontahedron

SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron

Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Hexecontahedron

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 SA:V of Deltoidal Hexecontahedron

Go Surface to Volume Ratio of Deltoidal Hexecontahedron

AV = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{1}{l e(Long)}

Go Surface to Volume Ratio of Deltoidal Hexecontahedron given Short Edge

AV = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot (7 - \sqrt{5})}{22 \cdot l e(Short)}

Go Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal

AV = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}{d Symmetry}

Go Surface to Volume Ratio of Deltoidal Hexecontahedron given NonSymmetry Diagonal

AV = \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{\sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}} \cdot \frac{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}{11 \cdot d Non Symmetry}

How to Evaluate Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius?

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius evaluator uses SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*Insphere Radius of Deltoidal Hexecontahedron) to evaluate the SA:V of Deltoidal Hexecontahedron, Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius formula is defined as what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area, calculated using insphere radius of Deltoidal Hexecontahedron. SA:V of Deltoidal Hexecontahedron is denoted by AV symbol.

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

FAQs on Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius

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

The formula of Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius is expressed as SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*Insphere Radius of Deltoidal Hexecontahedron). Here is an example- 0.176471 = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*17).

How to calculate Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius?

With Insphere Radius of Deltoidal Hexecontahedron (r_i) we can find Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius using the formula - SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*Insphere Radius of Deltoidal Hexecontahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Deltoidal Hexecontahedron?

Here are the different ways to Calculate SA:V of Deltoidal Hexecontahedron-

SA:V of Deltoidal Hexecontahedron=(9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*1/Long Edge of Deltoidal Hexecontahedron
SA:V of Deltoidal Hexecontahedron=(9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*(7-sqrt(5)))/(22*Short Edge of Deltoidal Hexecontahedron)
SA:V of Deltoidal Hexecontahedron=(9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((5-sqrt(5))/20))/Symmetry Diagonal of Deltoidal Hexecontahedron

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

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

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

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius can be measured.

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