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Surface to Volume Ratio of Great Icosahedron given Circumsphere Radius Formula

GoSurface to Volume Ratio of Great Icosahedron Formula

GoSurface to Volume Ratio of Great Icosahedron given Mid Ridge Length Formula

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

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4 \cdot r c}

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

Surface to Volume Ratio of Great Icosahedron given Circumsphere Radius Example

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

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

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

0.6397 = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4 \cdot 25}

0.6397m⁻¹ = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4 \cdot 25m}

0.6397 = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4 \cdot 25}

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Surface to Volume Ratio of Great Icosahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4 \cdot r c}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4 \cdot 25m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4 \cdot 25}

Next Step Evaluate

∴

R A/V = 0.6396845107207m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6397m⁻¹

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

Variables

Functions

Surface to Volume Ratio of Great Icosahedron

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

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 Icosahedron

Circumsphere Radius of Great Icosahedron

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Great Icosahedron

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 Icosahedron

Go Surface to Volume Ratio of Great Icosahedron

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot l e}

Go Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{1 + \sqrt{5}}{2 \cdot l Ridge(Mid)}

Go Surface to Volume Ratio of Great Icosahedron given Long Ridge Length

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot l Ridge(Long)}

Go Surface to Volume Ratio of Great Icosahedron given Short Ridge Length

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{10}}{5 \cdot l Ridge(Short)}

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

Surface to Volume Ratio of Great Icosahedron given Circumsphere Radius evaluator uses Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(50+(22*sqrt(5))))/(4*Circumsphere Radius of Great Icosahedron) to evaluate the Surface to Volume Ratio of Great Icosahedron, Surface to Volume Ratio of Great Icosahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron, calculated using circumspherer radius. Surface to Volume Ratio of Great Icosahedron is denoted by R_A/V symbol.

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

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

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

The formula of Surface to Volume Ratio of Great Icosahedron given Circumsphere Radius is expressed as Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(50+(22*sqrt(5))))/(4*Circumsphere Radius of Great Icosahedron). Here is an example- 0.639685 = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(50+(22*sqrt(5))))/(4*25).

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

With Circumsphere Radius of Great Icosahedron (r_c) we can find Surface to Volume Ratio of Great Icosahedron given Circumsphere Radius using the formula - Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(50+(22*sqrt(5))))/(4*Circumsphere Radius of Great Icosahedron). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Great Icosahedron=(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Edge Length of Great Icosahedron)
Surface to Volume Ratio of Great Icosahedron=(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*Mid Ridge Length of Great Icosahedron)
Surface to Volume Ratio of Great Icosahedron=(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(2)*(5+(3*sqrt(5))))/(10*Long Ridge Length of Great Icosahedron)

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

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

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

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

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