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Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio 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 (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))}

r_m - Midsphere Radius of Rhombicosidodecahedron?R_A/V - Surface to Volume Ratio of Rhombicosidodecahedron?

Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Example

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

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

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

31.0137 = \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})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

31.0137m = \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})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))}

31.0137 = \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})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

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Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

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})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

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})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Evaluate

∴

r m = 31.0137436838189m

LAST Step Rounding Answer

∴

r m = 31.0137m

Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio 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

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 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 Volume

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

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})}}

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

Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio evaluator uses Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(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 Midsphere Radius of Rhombicosidodecahedron, Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio 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 surface to volume ratio of the Rhombicosidodecahedron. Midsphere Radius of Rhombicosidodecahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Midsphere 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 Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio

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

The formula of Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio is expressed as Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(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- 31.01374 = sqrt(10+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.1*(60+(29*sqrt(5)))).

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

With Surface to Volume Ratio of Rhombicosidodecahedron (R_A/V) we can find Midsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio using the formula - Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(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 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)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)

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

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

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

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

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