Circumsphere 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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✖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 Volume [r_c]

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Formula

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Circumsphere Radius of Disheptahedron given Volume

Formula

`"r"_{"c"} = ((3*"V")/(5*sqrt(2)))^(1/3)`

Example

`"10.06041m"=((3*"2400m³")/(5*sqrt(2)))^(1/3)`

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Circumsphere Radius of Disheptahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

Evaluating ... ...

r_c = 10.0604135022478

STEP 3: Convert Result to Output's Unit

10.0604135022478 Meter --> No Conversion Required

FINAL ANSWER

10.0604135022478 ≈ 10.06041 Meter <-- Circumsphere Radius of Disheptahedron

(Calculation completed in 00.004 seconds)

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< 4 Circumsphere Radius of Disheptahedron Calculators

Circumsphere Radius of Disheptahedron given Surface to Volume Ratio

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

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

Circumsphere Radius of Disheptahedron given Volume

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

Circumsphere Radius of Disheptahedron given Midsphere Radius

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

Circumsphere Radius of Disheptahedron given Volume Formula

Circumsphere Radius of Disheptahedron = ((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)
r_c = ((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 Circumsphere Radius of Disheptahedron given Volume?

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

How to calculate Circumsphere Radius of Disheptahedron given Volume using this online calculator? To use this online calculator for Circumsphere Radius of Disheptahedron given Volume, enter Volume of Disheptahedron (V) and hit the calculate button. Here is how the Circumsphere Radius of Disheptahedron given Volume calculation can be explained with given input values -> 10.06041 = ((3*2400)/(5*sqrt(2)))^(1/3).

FAQ

What is Circumsphere Radius of Disheptahedron given Volume?

The Circumsphere Radius of Disheptahedron given Volume 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 volume of Disheptahedron and is represented as r_c = ((3*V)/(5*sqrt(2)))^(1/3) or Circumsphere Radius of Disheptahedron = ((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 Circumsphere Radius of Disheptahedron given Volume?

The Circumsphere Radius of Disheptahedron given Volume 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 volume of Disheptahedron is calculated using Circumsphere Radius of Disheptahedron = ((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3). To calculate Circumsphere 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 Circumsphere Radius of Disheptahedron?

In this formula, Circumsphere Radius of Disheptahedron uses Volume 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 = (2*Midsphere Radius of Disheptahedron)/sqrt(3)
Circumsphere Radius of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)

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