FormulaDen.com

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

Midsphere Radius of Icosidodecahedron given Volume Formula

GoMidsphere Radius of Icosidodecahedron Formula

GoMidsphere Radius of Icosidodecahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

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

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

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

Midsphere Radius of Icosidodecahedron given Volume Example

With values

With units

Only example

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

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

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

15.4492 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

15.4492m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot 14000m³}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

15.4492 = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

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 Icosidodecahedron given Volume

Midsphere Radius of Icosidodecahedron given Volume Solution

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

FIRST Step Consider the formula

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot 14000m³}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot 14000}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 15.4491558173269m

LAST Step Rounding Answer

∴

r m = 15.4492m

Midsphere Radius of Icosidodecahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Icosidodecahedron

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

Volume of Icosidodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of 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 Icosidodecahedron

Go Midsphere Radius of Icosidodecahedron

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

Go Midsphere Radius of Icosidodecahedron given Total Surface Area

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

Go Midsphere Radius of Icosidodecahedron given Circumsphere Radius

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{r c}{1 + \sqrt{5}}

Go Midsphere Radius of Icosidodecahedron given Surface to Volume Ratio

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Midsphere Radius of Icosidodecahedron given Volume?

Midsphere Radius of Icosidodecahedron given Volume evaluator uses Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3) to evaluate the Midsphere Radius of Icosidodecahedron, Midsphere Radius of Icosidodecahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Icosidodecahedron become a tangent line on that sphere, and calculated using the volume of the Icosidodecahedron. Midsphere Radius of Icosidodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Icosidodecahedron given Volume

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

The formula of Midsphere Radius of Icosidodecahedron given Volume is expressed as Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3). Here is an example- 15.44916 = sqrt(5+(2*sqrt(5)))/2*((6*14000)/(45+(17*sqrt(5))))^(1/3).

How to calculate Midsphere Radius of Icosidodecahedron given Volume?

With Volume of Icosidodecahedron (V) we can find Midsphere Radius of Icosidodecahedron given Volume using the formula - Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))/2*Edge Length of Icosidodecahedron
Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))*Circumsphere Radius of Icosidodecahedron/(1+sqrt(5))

Can the Midsphere Radius of Icosidodecahedron given Volume be negative?

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

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

Midsphere Radius of Icosidodecahedron 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 Icosidodecahedron given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit