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Midsphere Radius of Rhombicosidodecahedron given Volume Formula

GoMidsphere Radius of Rhombicosidodecahedron Formula

GoMidsphere Radius of Rhombicosidodecahedron given Total Surface Area Formula

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Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere. Check FAQs

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

r_m - Midsphere Radius of Rhombicosidodecahedron?V - Volume of Rhombicosidodecahedron?

Midsphere Radius of Rhombicosidodecahedron given Volume Example

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Here is how the Midsphere Radius of Rhombicosidodecahedron given Volume equation looks like with Values.

Here is how the Midsphere Radius of Rhombicosidodecahedron given Volume equation looks like with Units.

Here is how the Midsphere Radius of Rhombicosidodecahedron given Volume equation looks like.

21.8294 = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot 42000}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

21.8294m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot 42000m³}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

21.8294 = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot 42000}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

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Midsphere Radius of Rhombicosidodecahedron given Volume Solution

Follow our step by step solution on how to calculate Midsphere Radius of Rhombicosidodecahedron given Volume?

FIRST Step Consider the formula

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot 42000m³}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{10 + (4 \cdot \sqrt{5})}}{2} \cdot {(\frac{3 \cdot 42000}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 21.8293582237216m

LAST Step Rounding Answer

∴

r m = 21.8294m

Midsphere Radius of Rhombicosidodecahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Rhombicosidodecahedron

Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Rhombicosidodecahedron

Volume of Rhombicosidodecahedron

Volume of Rhombicosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Midsphere Radius of Rhombicosidodecahedron

Go Midsphere Radius of Rhombicosidodecahedron

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

Go Midsphere Radius of Rhombicosidodecahedron given Total Surface Area

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

Go Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius

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

Go Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio

r m = \frac{\sqrt{10 + (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}))}

How to Evaluate Midsphere Radius of Rhombicosidodecahedron given Volume?

Midsphere Radius of Rhombicosidodecahedron given Volume evaluator uses Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3) to evaluate the Midsphere Radius of Rhombicosidodecahedron, Midsphere Radius of Rhombicosidodecahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere, and calculated using the volume of the Rhombicosidodecahedron. Midsphere Radius of Rhombicosidodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Rhombicosidodecahedron given Volume

What is the formula to find Midsphere Radius of Rhombicosidodecahedron given Volume?

The formula of Midsphere Radius of Rhombicosidodecahedron given Volume is expressed as Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3). Here is an example- 21.82936 = sqrt(10+(4*sqrt(5)))/2*((3*42000)/(60+(29*sqrt(5))))^(1/3).

How to calculate Midsphere Radius of Rhombicosidodecahedron given Volume?

With Volume of Rhombicosidodecahedron (V) we can find Midsphere Radius of Rhombicosidodecahedron given Volume using the formula - Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

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

Can the Midsphere Radius of Rhombicosidodecahedron given Volume be negative?

No, the Midsphere Radius of Rhombicosidodecahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Rhombicosidodecahedron given Volume?

Midsphere Radius of Rhombicosidodecahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Midsphere Radius of Rhombicosidodecahedron given Volume can be measured.

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