FormulaDen.com

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

Midsphere Radius of Snub Dodecahedron given Total Surface Area Formula

GoMidsphere Radius of Snub Dodecahedron Formula

GoMidsphere Radius of Snub Dodecahedron given Volume Formula

Fx Copy

LaTeX Copy

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

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \sqrt{\frac{TSA}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

r_m - Midsphere Radius of Snub Dodecahedron?TSA - Total Surface Area of Snub Dodecahedron?

Midsphere Radius of Snub Dodecahedron given Total Surface Area Example

With values

With units

Only example

Here is how the Midsphere Radius of Snub Dodecahedron given Total Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Snub Dodecahedron given Total Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Snub Dodecahedron given Total Surface Area equation looks like.

20.9161 = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \sqrt{\frac{5500}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

20.9161m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \sqrt{\frac{5500m²}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

20.9161 = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \sqrt{\frac{5500}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

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 Midsphere Radius of Snub Dodecahedron given Total Surface Area

Midsphere Radius of Snub Dodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Snub Dodecahedron given Total Surface Area?

FIRST Step Consider the formula

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \sqrt{\frac{TSA}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \sqrt{\frac{5500m²}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \sqrt{\frac{5500}{(20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Evaluate

∴

r m = 20.9160857582834m

LAST Step Rounding Answer

∴

r m = 20.9161m

Midsphere Radius of Snub Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Midsphere Radius of Snub Dodecahedron

Midsphere Radius of Snub Dodecahedron is the radius of the sphere for which all the edges of the Snub Dodecahedron 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 Snub Dodecahedron

Total Surface Area of Snub Dodecahedron

Total Surface Area of Snub Dodecahedron is the total quantity of plane enclosed by the entire surface of the Snub Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Snub 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 Midsphere Radius of Snub Dodecahedron

Go Midsphere Radius of Snub Dodecahedron

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot l e

Go Midsphere Radius of Snub Dodecahedron given Volume

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot {(\frac{V \cdot 6 \cdot {(3 - {({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2})}^{\frac{3}{2}}}{((12 \cdot ((3 \cdot [phi]) + 1)) \cdot ({({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2}) - (((36 \cdot [phi]) + 7) \cdot ({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}}))) - ((53 \cdot [phi]) + 6)})}^{\frac{1}{3}}

Go Midsphere Radius of Snub Dodecahedron given Circumsphere Radius

r m = \frac{r c}{\sqrt{2 - 0.94315125924}}

Go Midsphere Radius of Snub Dodecahedron given Surface to Volume Ratio

r m = \frac{\sqrt{\frac{1}{1 - 0.94315125924}}}{2} \cdot \frac{((20 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})) \cdot 6 \cdot {(3 - {({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2})}^{\frac{3}{2}}}{R A/V \cdot (((12 \cdot ((3 \cdot [phi]) + 1)) \cdot ({({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}})}^{2}) - (((36 \cdot [phi]) + 7) \cdot ({(\frac{[phi]}{2} + \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}} + {(\frac{[phi]}{2} - \frac{\sqrt{[phi] - \frac{5}{27}}}{2})}^{\frac{1}{3}}))) - ((53 \cdot [phi]) + 6))}

How to Evaluate Midsphere Radius of Snub Dodecahedron given Total Surface Area?

Midsphere Radius of Snub Dodecahedron given Total Surface Area evaluator uses Midsphere Radius of Snub Dodecahedron = sqrt(1/(1-0.94315125924))/2*sqrt(Total Surface Area of Snub Dodecahedron/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))) to evaluate the Midsphere Radius of Snub Dodecahedron, Midsphere Radius of Snub Dodecahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Snub Dodecahedron become a tangent line on that sphere, and calculated using the total surface area of the Snub Dodecahedron. Midsphere Radius of Snub Dodecahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Snub Dodecahedron given Total Surface Area using this online evaluator? To use this online evaluator for Midsphere Radius of Snub Dodecahedron given Total Surface Area, enter Total Surface Area of Snub Dodecahedron (TSA) and hit the calculate button.

FAQs on Midsphere Radius of Snub Dodecahedron given Total Surface Area

What is the formula to find Midsphere Radius of Snub Dodecahedron given Total Surface Area?

The formula of Midsphere Radius of Snub Dodecahedron given Total Surface Area is expressed as Midsphere Radius of Snub Dodecahedron = sqrt(1/(1-0.94315125924))/2*sqrt(Total Surface Area of Snub Dodecahedron/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). Here is an example- 20.91609 = sqrt(1/(1-0.94315125924))/2*sqrt(5500/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))).

How to calculate Midsphere Radius of Snub Dodecahedron given Total Surface Area?

With Total Surface Area of Snub Dodecahedron (TSA) we can find Midsphere Radius of Snub Dodecahedron given Total Surface Area using the formula - Midsphere Radius of Snub Dodecahedron = sqrt(1/(1-0.94315125924))/2*sqrt(Total Surface Area of Snub Dodecahedron/((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Snub Dodecahedron?

Here are the different ways to Calculate Midsphere Radius of Snub Dodecahedron-

Midsphere Radius of Snub Dodecahedron=sqrt(1/(1-0.94315125924))/2*Edge Length of Snub Dodecahedron
Midsphere Radius of Snub Dodecahedron=sqrt(1/(1-0.94315125924))/2*((Volume of Snub Dodecahedron*6*(3-(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)^(3/2))/(((12*((3*[phi])+1))*((([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)-(((36*[phi])+7)*(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))))-((53*[phi])+6)))^(1/3)
Midsphere Radius of Snub Dodecahedron=Circumsphere Radius of Snub Dodecahedron/sqrt(2-0.94315125924)

Can the Midsphere Radius of Snub Dodecahedron given Total Surface Area be negative?

No, the Midsphere Radius of Snub Dodecahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Snub Dodecahedron given Total Surface Area?

Midsphere Radius of Snub Dodecahedron given Total Surface Area 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 Snub Dodecahedron given Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit