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Circumsphere Radius of Disheptahedron given Surface to Volume Ratio Formula

GoCircumsphere Radius of Disheptahedron given Total Surface Area Formula

GoCircumsphere Radius of Disheptahedron given Volume Formula

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Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere. Check FAQs

r c = \frac{6 \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V}

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

Circumsphere Radius of Disheptahedron given Surface to Volume Ratio Example

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

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

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

10.0382 = \frac{6 \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

10.0382m = \frac{6 \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4m⁻¹}

10.0382 = \frac{6 \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

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Circumsphere Radius of Disheptahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r c = \frac{6 \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V}

Next Step Substitute values of Variables

∴

r c = \frac{6 \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

r c = \frac{6 \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

Next Step Evaluate

∴

r c = 10.0381956448537m

LAST Step Rounding Answer

∴

r c = 10.0382m

Circumsphere Radius of Disheptahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Circumsphere Radius of Disheptahedron

Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Disheptahedron

Surface to Volume Ratio of Disheptahedron

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Disheptahedron

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 Disheptahedron

Go Circumsphere Radius of Disheptahedron given Total Surface Area

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

Go Circumsphere Radius of Disheptahedron given Volume

r c = {(\frac{3 \cdot V}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

Go Circumsphere Radius of Disheptahedron given Midsphere Radius

r c = \frac{2 \cdot r m}{\sqrt{3}}

How to Evaluate Circumsphere Radius of Disheptahedron given Surface to Volume Ratio?

Circumsphere Radius of Disheptahedron given Surface to Volume Ratio evaluator uses Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron) to evaluate the Circumsphere Radius of Disheptahedron, The Circumsphere Radius of Disheptahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere and is calculated using the surface to volume ratio of Disheptahedron. Circumsphere Radius of Disheptahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Disheptahedron given Surface to Volume Ratio

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

The formula of Circumsphere Radius of Disheptahedron given Surface to Volume Ratio is expressed as Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron). Here is an example- 10.0382 = (6*(3+sqrt(3)))/(5*sqrt(2)*0.4).

How to calculate Circumsphere Radius of Disheptahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Disheptahedron (R_A/V) we can find Circumsphere Radius of Disheptahedron given Surface to Volume Ratio using the formula - Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Disheptahedron?

Here are the different ways to Calculate Circumsphere Radius of Disheptahedron-

Circumsphere Radius of Disheptahedron=sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))
Circumsphere Radius of Disheptahedron=((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)
Circumsphere Radius of Disheptahedron=(2*Midsphere Radius of Disheptahedron)/sqrt(3)

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

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

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

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

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