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Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio Formula

GoMidsphere Radius of Truncated Icosidodecahedron Formula

GoMidsphere Radius of Truncated Icosidodecahedron given Total Surface Area Formula

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

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{R A/V \cdot (19 + (10 \cdot \sqrt{5}))}

r_m - Midsphere Radius of Truncated Icosidodecahedron?R_A/V - SA:V of Truncated Icosidodecahedron?

Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio Example

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

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

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

31.768 = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))}

31.768m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (19 + (10 \cdot \sqrt{5}))}

31.768 = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))}

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Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{R A/V \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1m⁻¹ \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{3 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{0.1 \cdot (19 + (10 \cdot \sqrt{5}))}

Next Step Evaluate

∴

r m = 31.7679688208861m

LAST Step Rounding Answer

∴

r m = 31.768m

Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Midsphere Radius of Truncated Icosidodecahedron

Midsphere Radius of Truncated Icosidodecahedron is the radius of the sphere for which all the edges of the Truncated Icosidodecahedron 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 Truncated Icosidodecahedron

SA:V of Truncated Icosidodecahedron

SA:V of Truncated Icosidodecahedron is the numerical ratio of the total surface area of a Truncated Icosidodecahedron to the volume of the Truncated Icosidodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Truncated Icosidodecahedron

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 Truncated Icosidodecahedron

Go Midsphere Radius of Truncated Icosidodecahedron

r m = \frac{\sqrt{30 + (12 \cdot \sqrt{5})}}{2} \cdot l e

Go Midsphere Radius of Truncated Icosidodecahedron given Total Surface Area

r m = \frac{\sqrt{30 + (12 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{30 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}}

Go Midsphere Radius of Truncated Icosidodecahedron given Volume

r m = \frac{\sqrt{30 + (12 \cdot \sqrt{5})}}{2} \cdot {(\frac{V}{5 \cdot (19 + (10 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius

r m = \sqrt{30 + (12 \cdot \sqrt{5})} \cdot \frac{r c}{\sqrt{31 + (12 \cdot \sqrt{5})}}

How to Evaluate Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio?

Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio evaluator uses Midsphere Radius of Truncated Icosidodecahedron = sqrt(30+(12*sqrt(5)))*(3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))) to evaluate the Midsphere Radius of Truncated Icosidodecahedron, Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Truncated Icosidodecahedron become a tangent line on that sphere, and calculated using the surface to volume ratio of the Truncated Icosidodecahedron. Midsphere Radius of Truncated Icosidodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio

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

The formula of Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio is expressed as Midsphere Radius of Truncated Icosidodecahedron = sqrt(30+(12*sqrt(5)))*(3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))). Here is an example- 31.76797 = sqrt(30+(12*sqrt(5)))*(3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(0.1*(19+(10*sqrt(5)))).

How to calculate Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio?

With SA:V of Truncated Icosidodecahedron (R_A/V) we can find Midsphere Radius of Truncated Icosidodecahedron given Surface to Volume Ratio using the formula - Midsphere Radius of Truncated Icosidodecahedron = sqrt(30+(12*sqrt(5)))*(3*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(SA:V of Truncated Icosidodecahedron*(19+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Truncated Icosidodecahedron?

Here are the different ways to Calculate Midsphere Radius of Truncated Icosidodecahedron-

Midsphere Radius of Truncated Icosidodecahedron=sqrt(30+(12*sqrt(5)))/2*Edge Length of Truncated Icosidodecahedron
Midsphere Radius of Truncated Icosidodecahedron=sqrt(30+(12*sqrt(5)))/2*sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))
Midsphere Radius of Truncated Icosidodecahedron=sqrt(30+(12*sqrt(5)))/2*(Volume of Truncated Icosidodecahedron/(5*(19+(10*sqrt(5)))))^(1/3)

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

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

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

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

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