Midsphere Radius of Disheptahedron given Volume Calculator

✖Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.ⓘ Volume of Disheptahedron [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 Volume [r_m]

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Midsphere Radius of Disheptahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Disheptahedron = sqrt(3)/2*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)
r_m = sqrt(3)/2*((3*V)/(5*sqrt(2)))^(1/3)
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.
Volume of Disheptahedron - (Measured in Cubic Meter) - Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Disheptahedron: 2400 Cubic Meter --> 2400 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(3)/2*((3*V)/(5*sqrt(2)))^(1/3) --> sqrt(3)/2*((3*2400)/(5*sqrt(2)))^(1/3)

Evaluating ... ...

r_m = 8.71257366552257

STEP 3: Convert Result to Output's Unit

8.71257366552257 Meter --> No Conversion Required

FINAL ANSWER

8.71257366552257 ≈ 8.712574 Meter <-- Midsphere Radius of Disheptahedron

(Calculation completed in 00.011 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 Volume Formula

LaTeX Go

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

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 Volume?

Midsphere Radius of Disheptahedron given Volume calculator uses Midsphere Radius of Disheptahedron = sqrt(3)/2*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3) to calculate the Midsphere Radius of Disheptahedron, The Midsphere Radius of Disheptahedron given Volume 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 volume of Disheptahedron. Midsphere Radius of Disheptahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Disheptahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Disheptahedron given Volume, enter Volume of Disheptahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Disheptahedron given Volume calculation can be explained with given input values -> 8.712574 = sqrt(3)/2*((3*2400)/(5*sqrt(2)))^(1/3).

FAQ

What is Midsphere Radius of Disheptahedron given Volume?

The Midsphere Radius of Disheptahedron given Volume 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 volume of Disheptahedron and is represented as r_m = sqrt(3)/2*((3*V)/(5*sqrt(2)))^(1/3) or Midsphere Radius of Disheptahedron = sqrt(3)/2*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3). Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.

How to calculate Midsphere Radius of Disheptahedron given Volume?

The Midsphere Radius of Disheptahedron given Volume 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 volume of Disheptahedron is calculated using Midsphere Radius of Disheptahedron = sqrt(3)/2*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3). To calculate Midsphere Radius of Disheptahedron given Volume, you need Volume of Disheptahedron (V). With our tool, you need to enter the respective value for Volume 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 Volume 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*Circumsphere Radius of Disheptahedron

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