FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Circumsphere Radius of Great Dodecahedron given Surface to Volume Ratio Formula

GoCircumsphere Radius of Great Dodecahedron Formula

GoCircumsphere Radius of Great Dodecahedron given Ridge Length Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Circumsphere Radius of Great Dodecahedron given Surface to Volume Ratio Example

With values

With units

Only example

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

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

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

9.5831 = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7}

9.5831m = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7m⁻¹}

9.5831 = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Circumsphere Radius of Great Dodecahedron given Surface to Volume Ratio

Circumsphere Radius of Great Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7m⁻¹}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7}

Next Step Evaluate

∴

r c = 9.5831484749991m

LAST Step Rounding Answer

∴

r c = 9.5831m

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

Variables

Functions

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

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

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 Circumsphere Radius of Great Dodecahedron

Go Circumsphere Radius of Great Dodecahedron

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Great Dodecahedron given Ridge Length

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot l Ridge}{\sqrt{5} - 1}

Go Circumsphere Radius of Great Dodecahedron given Pyramidal Height

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})}

Go Circumsphere Radius of Great Dodecahedron given Total Surface Area

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

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

Circumsphere Radius of Great Dodecahedron given Surface to Volume Ratio evaluator uses Circumsphere Radius of Great Dodecahedron = sqrt(10+(2*sqrt(5)))/4*(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Surface to Volume Ratio of Great Dodecahedron) to evaluate the Circumsphere Radius of Great Dodecahedron, Circumsphere Radius of Great Dodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Great Dodecahedron in such a way that all the vertices are lying on sphere, calculated using its surface to volume ratio. Circumsphere Radius of Great Dodecahedron is denoted by r_c symbol.

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

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

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

The formula of Circumsphere Radius of Great Dodecahedron given Surface to Volume Ratio is expressed as Circumsphere Radius of Great Dodecahedron = sqrt(10+(2*sqrt(5)))/4*(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Surface to Volume Ratio of Great Dodecahedron). Here is an example- 9.583148 = sqrt(10+(2*sqrt(5)))/4*(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*0.7).

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

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

What are the other ways to Calculate Circumsphere Radius of Great Dodecahedron?

Here are the different ways to Calculate Circumsphere Radius of Great Dodecahedron-

Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*Edge Length of Great Dodecahedron
Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit