Circumsphere Radius of Disheptahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.ⓘ Surface to Volume Ratio of Disheptahedron [R_A/V]

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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.ⓘ Circumsphere Radius of Disheptahedron given Surface to Volume Ratio [r_c]

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Circumsphere Radius of Disheptahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
r_c = (6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Circumsphere Radius of Disheptahedron - (Measured in Meter) - 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.
Surface to Volume Ratio of Disheptahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Disheptahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V) --> (6*(3+sqrt(3)))/(5*sqrt(2)*0.4)

Evaluating ... ...

r_c = 10.0381956448537

STEP 3: Convert Result to Output's Unit

10.0381956448537 Meter --> No Conversion Required

FINAL ANSWER

10.0381956448537 ≈ 10.0382 Meter <-- Circumsphere Radius of Disheptahedron

(Calculation completed in 00.006 seconds)

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< Circumsphere Radius of Disheptahedron Calculators

Circumsphere Radius of Disheptahedron given Surface to Volume Ratio

LaTeX Go Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)

Circumsphere Radius of Disheptahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Disheptahedron = sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))

Circumsphere Radius of Disheptahedron given Volume

LaTeX Go Circumsphere Radius of Disheptahedron = ((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)

Circumsphere Radius of Disheptahedron given Midsphere Radius

LaTeX Go Circumsphere Radius of Disheptahedron = (2*Midsphere Radius of Disheptahedron)/sqrt(3)

Circumsphere Radius of Disheptahedron given Surface to Volume Ratio Formula

LaTeX Go

Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
r_c = (6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V)

What is a Disheptahedron?

A Disheptahedron is a symmetric, closed, and convex polyhedron, which is the Johnson solid generally denoted by J27. It is also called anticuboctahedron or twisted cuboctahedron or triangular orthobicupola. It has 14 faces which include 8 equilateral triangular faces and 6 square faces. Also, It has 24 edges and 12 vertices.

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

Circumsphere Radius of Disheptahedron given Surface to Volume Ratio calculator uses Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron) to calculate 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 calculate Circumsphere Radius of Disheptahedron given Surface to Volume Ratio using this online calculator? To use this online calculator 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. Here is how the Circumsphere Radius of Disheptahedron given Surface to Volume Ratio calculation can be explained with given input values -> 10.0382 = (6*(3+sqrt(3)))/(5*sqrt(2)*0.4).

FAQ

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

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 and is represented as r_c = (6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V) or Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*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.

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

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 is calculated using Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron). To calculate Circumsphere Radius of Disheptahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Disheptahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Disheptahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumsphere Radius of Disheptahedron?

In this formula, Circumsphere Radius of Disheptahedron uses Surface to Volume Ratio of Disheptahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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