FormulaDen.com

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

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio Formula

GoCircumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoCircumsphere Radius of Truncated Rhombohedron Formula

Fx Copy

LaTeX Copy

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

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot R A/V \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})})

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

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio Example

With values

With units

Only example

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

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

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

24.1748 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot 0.2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})})

24.1748m = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot 0.2m⁻¹ \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})})

24.1748 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot 0.2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 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 Rhombohedron given Surface to Volume Ratio

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot R A/V \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})})

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot 0.2m⁻¹ \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot 0.2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})})

Next Step Evaluate

∴

r c = 24.1747854612163m

LAST Step Rounding Answer

∴

r c = 24.1748m

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

Variables

Functions

Circumsphere Radius of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron is the radius of the sphere that contains the Truncated Rhombohedron 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 Rhombohedron

Surface to Volume Ratio of Truncated Rhombohedron

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

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 Rhombohedron

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 Rhombohedron

Go Circumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot l e(Rhombohedron)

Go Circumsphere Radius of Truncated Rhombohedron

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (2 \cdot \frac{l e}{3 - \sqrt{5}})

Go Circumsphere Radius of Truncated Rhombohedron given Triangular Edge Length

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{l e(Triangle)}{\sqrt{5 - (2 \cdot \sqrt{5})}})

Go Circumsphere Radius of Truncated Rhombohedron given Total Surface Area

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

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

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio evaluator uses Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2)))) to evaluate the Circumsphere Radius of Truncated Rhombohedron, Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere, calculated using its surface to volume ratio. Circumsphere Radius of Truncated Rhombohedron is denoted by r_c symbol.

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

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

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

The formula of Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio is expressed as Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2)))). Here is an example- 24.17479 = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*0.2*(5/3)*(sqrt(sqrt(5)-2)))).

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

With Surface to Volume Ratio of Truncated Rhombohedron (R_A/V) we can find Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio using the formula - Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2)))). This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Truncated Rhombohedron=((sqrt(14-(2*sqrt(5))))/4)*Rhombohedral Edge Length of Truncated Rhombohedron
Circumsphere Radius of Truncated Rhombohedron=((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))
Circumsphere Radius of Truncated Rhombohedron=((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit