Midsphere 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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✖Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.ⓘ Midsphere Radius of Disheptahedron given Surface to Volume Ratio [r_m]

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Midsphere Radius of Disheptahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
r_m = (3*sqrt(3)*(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

Midsphere Radius of Disheptahedron - (Measured in Meter) - Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that 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_m = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*R_A/V) --> (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*0.4)

Evaluating ... ...

r_m = 8.69333243660161

STEP 3: Convert Result to Output's Unit

8.69333243660161 Meter --> No Conversion Required

FINAL ANSWER

8.69333243660161 ≈ 8.693332 Meter <-- Midsphere Radius of Disheptahedron

(Calculation completed in 00.004 seconds)

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< Midsphere Radius of Disheptahedron Calculators

Midsphere Radius of Disheptahedron given Total Surface Area

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

Midsphere Radius of Disheptahedron given Volume

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

Midsphere Radius of Disheptahedron given Circumsphere Radius

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

Midsphere Radius of Disheptahedron

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

Midsphere Radius of Disheptahedron given Surface to Volume Ratio Formula

LaTeX Go

Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
r_m = (3*sqrt(3)*(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 Midsphere Radius of Disheptahedron given Surface to Volume Ratio?

Midsphere Radius of Disheptahedron given Surface to Volume Ratio calculator uses Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron) to calculate the Midsphere Radius of Disheptahedron, The Midsphere Radius of Disheptahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere and is calculated using the surface to volume ratio of Disheptahedron. Midsphere Radius of Disheptahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Disheptahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Midsphere 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 Midsphere Radius of Disheptahedron given Surface to Volume Ratio calculation can be explained with given input values -> 8.693332 = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*0.4).

FAQ

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

The Midsphere Radius of Disheptahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere and is calculated using the surface to volume ratio of Disheptahedron and is represented as r_m = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*R_A/V) or Midsphere Radius of Disheptahedron = (3*sqrt(3)*(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 Midsphere Radius of Disheptahedron given Surface to Volume Ratio?

The Midsphere Radius of Disheptahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere and is calculated using the surface to volume ratio of Disheptahedron is calculated using Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron). To calculate Midsphere 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 Midsphere Radius of Disheptahedron?

In this formula, Midsphere 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 -

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

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