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Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Formula

GoCircumsphere Radius of Rhombicosidodecahedron Formula

GoCircumsphere Radius of Rhombicosidodecahedron given Total Surface Area Formula

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Circumsphere Radius of Rhombicosidodecahedron is the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))}

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

Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Example

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

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

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

31.8218 = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

31.8218m = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))}

31.8218 = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

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Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Evaluate

∴

r c = 31.8217696195455m

LAST Step Rounding Answer

∴

r c = 31.8218m

Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Circumsphere Radius of Rhombicosidodecahedron

Circumsphere Radius of Rhombicosidodecahedron is the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the 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 Rhombicosidodecahedron

Surface to Volume Ratio of Rhombicosidodecahedron

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rhombicosidodecahedron

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 Rhombicosidodecahedron

Go Circumsphere Radius of Rhombicosidodecahedron

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot l e

Go Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Circumsphere Radius of Rhombicosidodecahedron given Volume

r c = \frac{\sqrt{11 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius

r c = \sqrt{11 + (4 \cdot \sqrt{5})} \cdot \frac{r m}{\sqrt{10 + (4 \cdot \sqrt{5})}}

How to Evaluate Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio?

Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio evaluator uses Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))) to evaluate the Circumsphere Radius of Rhombicosidodecahedron, Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Rhombicosidodecahedron. Circumsphere Radius of Rhombicosidodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio

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

The formula of Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio is expressed as Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))). Here is an example- 31.82177 = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.1*(60+(29*sqrt(5)))).

How to calculate Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Rhombicosidodecahedron (R_A/V) we can find Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio using the formula - Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Rhombicosidodecahedron?

Here are the different ways to Calculate Circumsphere Radius of Rhombicosidodecahedron-

Circumsphere Radius of Rhombicosidodecahedron=sqrt(11+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron
Circumsphere Radius of Rhombicosidodecahedron=sqrt(11+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Circumsphere Radius of Rhombicosidodecahedron=sqrt(11+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)

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

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

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

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

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