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

GoCircumsphere Radius of Great Stellated Dodecahedron Formula

GoCircumsphere Radius of Great Stellated Dodecahedron given Ridge Length Formula

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Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere. Check FAQs

r c = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{AV}

r_c - Circumradius of Great Stellated Dodecahedron?AV - SA:V of Great Stellated Dodecahedron?

Circumsphere Radius of Great Stellated Dodecahedron given Surface to Volume Ratio Example

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

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

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

22.8459 = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{0.7}

22.8459m = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{0.7m⁻¹}

22.8459 = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{0.7}

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Circumsphere Radius of Great Stellated Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r c = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{AV}

Next Step Substitute values of Variables

∴

r c = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{0.7m⁻¹}

Next Step Prepare to Evaluate

∴

r c = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{0.7}

Next Step Evaluate

∴

r c = 22.8458753828822m

LAST Step Rounding Answer

∴

r c = 22.8459m

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

Variables

Functions

Circumradius of Great Stellated Dodecahedron

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Great Stellated Dodecahedron

SA:V of Great Stellated Dodecahedron

SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Great Stellated 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 Circumradius of Great Stellated Dodecahedron

Go Circumsphere Radius of Great Stellated Dodecahedron

r c = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{4} \cdot l e

Go Circumsphere Radius of Great Stellated Dodecahedron given Ridge Length

r c = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{2} \cdot \frac{1 \cdot l Ridge}{1 + \sqrt{5}}

Go Circumsphere Radius of Great Stellated Dodecahedron given Pentagram Chord

r c = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{4} \cdot \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height

r c = \frac{3 \cdot h Pyramid}{2}

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

Circumsphere Radius of Great Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Circumradius of Great Stellated Dodecahedron = (3*sqrt(3)*sqrt(5+(2*sqrt(5))))/SA:V of Great Stellated Dodecahedron to evaluate the Circumradius of Great Stellated Dodecahedron, Circumsphere Radius of Great Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere, calculated using its surface to volume ratio. Circumradius of Great Stellated Dodecahedron is denoted by r_c symbol.

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

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

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

The formula of Circumsphere Radius of Great Stellated Dodecahedron given Surface to Volume Ratio is expressed as Circumradius of Great Stellated Dodecahedron = (3*sqrt(3)*sqrt(5+(2*sqrt(5))))/SA:V of Great Stellated Dodecahedron. Here is an example- 22.84588 = (3*sqrt(3)*sqrt(5+(2*sqrt(5))))/0.7.

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

With SA:V of Great Stellated Dodecahedron (AV) we can find Circumsphere Radius of Great Stellated Dodecahedron given Surface to Volume Ratio using the formula - Circumradius of Great Stellated Dodecahedron = (3*sqrt(3)*sqrt(5+(2*sqrt(5))))/SA:V of Great Stellated Dodecahedron. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Circumradius of Great Stellated Dodecahedron?

Here are the different ways to Calculate Circumradius of Great Stellated Dodecahedron-

Circumradius of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/4*Edge Length of Great Stellated Dodecahedron
Circumradius of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/2*(1*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Circumradius of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/4*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

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

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

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

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

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