FormulaDen.com

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

Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio Formula

GoCircumsphere Radius of Truncated Cuboctahedron Formula

GoCircumsphere Radius of Truncated Cuboctahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

Circumsphere Radius of Truncated Cuboctahedron is the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot (\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{R A/V \cdot (11 + (7 \cdot \sqrt{2}))})

r_c - Circumsphere Radius of Truncated Cuboctahedron?R_A/V - Surface to Volume Ratio of Truncated Cuboctahedron?

Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio Example

With values

With units

Only example

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

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

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

17.1206 = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot (\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2 \cdot (11 + (7 \cdot \sqrt{2}))})

17.1206m = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot (\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2m⁻¹ \cdot (11 + (7 \cdot \sqrt{2}))})

17.1206 = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot (\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2 \cdot (11 + (7 \cdot \sqrt{2}))})

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 Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio

Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot (\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{R A/V \cdot (11 + (7 \cdot \sqrt{2}))})

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot (\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2m⁻¹ \cdot (11 + (7 \cdot \sqrt{2}))})

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot (\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{0.2 \cdot (11 + (7 \cdot \sqrt{2}))})

Next Step Evaluate

∴

r c = 17.1205646364903m

LAST Step Rounding Answer

∴

r c = 17.1206m

Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Circumsphere Radius of Truncated Cuboctahedron

Circumsphere Radius of Truncated Cuboctahedron is the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated Cuboctahedron

Surface to Volume Ratio of Truncated Cuboctahedron

Surface to Volume Ratio of Truncated Cuboctahedron is the numerical ratio of the total surface area of a Truncated Cuboctahedron to the volume of the Truncated Cuboctahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Truncated Cuboctahedron

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 Circumsphere Radius of Truncated Cuboctahedron

Go Circumsphere Radius of Truncated Cuboctahedron

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot l e

Go Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{TSA}{12 \cdot (2 + \sqrt{2} + \sqrt{3})}}

Go Circumsphere Radius of Truncated Cuboctahedron given Volume

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot {(\frac{V}{2 \cdot (11 + (7 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Go Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius

r c = \sqrt{13 + (6 \cdot \sqrt{2})} \cdot \frac{r m}{\sqrt{12 + (6 \cdot \sqrt{2})}}

How to Evaluate Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio?

Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio evaluator uses Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))) to evaluate the Circumsphere Radius of Truncated Cuboctahedron, Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Truncated Cuboctahedron. Circumsphere Radius of Truncated Cuboctahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio

What is the formula to find Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio?

The formula of Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio is expressed as Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))). Here is an example- 17.12056 = sqrt(13+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(0.2*(11+(7*sqrt(2))))).

How to calculate Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Truncated Cuboctahedron (R_A/V) we can find Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio using the formula - Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Truncated Cuboctahedron?

Here are the different ways to Calculate Circumsphere Radius of Truncated Cuboctahedron-

Circumsphere Radius of Truncated Cuboctahedron=sqrt(13+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
Circumsphere Radius of Truncated Cuboctahedron=sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
Circumsphere Radius of Truncated Cuboctahedron=sqrt(13+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)

Can the Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio be negative?

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

Which unit is used to measure Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio?

Circumsphere Radius of Truncated Cuboctahedron 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 Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit