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Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius Formula

GoSurface to Volume Ratio of Great Dodecahedron Formula

GoSurface to Volume Ratio of Great Dodecahedron given Ridge Length Formula

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Surface to Volume Ratio of Great Dodecahedron is the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron. Check FAQs

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot r c}

R_A/V - Surface to Volume Ratio of Great Dodecahedron?r_c - Circumsphere Radius of Great Dodecahedron?

Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius Example

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Here is how the Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius equation looks like with Values.

Here is how the Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius equation looks like with Units.

Here is how the Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius equation looks like.

0.7454 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot 9}

0.7454m⁻¹ = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot 9m}

0.7454 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot 9}

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Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius?

FIRST Step Consider the formula

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot r c}

Next Step Substitute values of Variables

∴

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot 9m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot 9}

Next Step Evaluate

∴

R A/V = 0.74535599249993m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7454m⁻¹

Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Surface to Volume Ratio of Great Dodecahedron

Surface to Volume Ratio of Great Dodecahedron is the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Great Dodecahedron

Circumsphere Radius of Great Dodecahedron

Circumsphere Radius of Great Dodecahedron is the radius of the sphere that contains the Great Dodecahedron in such a way that all the vertices are lying on sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Great Dodecahedron

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 Surface to Volume Ratio of Great Dodecahedron

Go Surface to Volume Ratio of Great Dodecahedron

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot l e}

Go Surface to Volume Ratio of Great Dodecahedron given Ridge Length

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot l Ridge}

Go Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot h Pyramid}

Go Surface to Volume Ratio of Great Dodecahedron given Total Surface Area

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \sqrt{\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{TSA}}

How to Evaluate Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius?

Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius evaluator uses Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*sqrt(10+(2*sqrt(5)))/(4*Circumsphere Radius of Great Dodecahedron) to evaluate the Surface to Volume Ratio of Great Dodecahedron, Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron, calculated using its circumsphere radius. Surface to Volume Ratio of Great Dodecahedron is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius, enter Circumsphere Radius of Great Dodecahedron (r_c) and hit the calculate button.

FAQs on Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius

What is the formula to find Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius?

The formula of Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius is expressed as Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*sqrt(10+(2*sqrt(5)))/(4*Circumsphere Radius of Great Dodecahedron). Here is an example- 0.745356 = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*sqrt(10+(2*sqrt(5)))/(4*9).

How to calculate Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius?

With Circumsphere Radius of Great Dodecahedron (r_c) we can find Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius using the formula - Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*sqrt(10+(2*sqrt(5)))/(4*Circumsphere Radius of Great Dodecahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Great Dodecahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Great Dodecahedron-

Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Edge Length of Great Dodecahedron)
Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4)*1/(2*Ridge Length of Great Dodecahedron)
Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*(sqrt(3)*(3-sqrt(5)))/(6*Pyramidal Height of Great Dodecahedron)

Can the Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius be negative?

No, the Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius?

Surface to Volume Ratio of Great Dodecahedron given Circumsphere 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 Great Dodecahedron given Circumsphere Radius can be measured.

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