Circular Radius of Spherical Wedge given Volume Calculator

✖Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge.ⓘ Volume of Spherical Wedge [V]			+10% -10%
✖Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge.ⓘ Angle of Spherical Wedge [∠_Wedge]			+10% -10%

✖Circular Radius of Spherical Wedge is the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge.ⓘ Circular Radius of Spherical Wedge given Volume [r_Circular]

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Formula

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Circular Radius of Spherical Wedge given Volume

Formula

`"r"_{"Circular"} = ((3*"V")/(2*"∠"_{"Wedge"}))^(1/3)`

Example

`"9.977037m"=((3*"520m³")/(2*"45°"))^(1/3)`

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Circular Radius of Spherical Wedge given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3)
r_Circular = ((3*V)/(2*∠_Wedge))^(1/3)
This formula uses 3 Variables

Variables Used

Circular Radius of Spherical Wedge - (Measured in Meter) - Circular Radius of Spherical Wedge is the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge.
Volume of Spherical Wedge - (Measured in Cubic Meter) - Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge.
Angle of Spherical Wedge - (Measured in Radian) - Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge.

STEP 1: Convert Input(s) to Base Unit

Volume of Spherical Wedge: 520 Cubic Meter --> 520 Cubic Meter No Conversion Required
Angle of Spherical Wedge: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Circular = ((3*V)/(2*∠_Wedge))^(1/3) --> ((3*520)/(2*0.785398163397301))^(1/3)

Evaluating ... ...

r_Circular = 9.97703679245096

STEP 3: Convert Result to Output's Unit

9.97703679245096 Meter --> No Conversion Required

FINAL ANSWER

9.97703679245096 ≈ 9.977037 Meter <-- Circular Radius of Spherical Wedge

(Calculation completed in 00.004 seconds)

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< 3 Circular Radius of Spherical Wedge Calculators

Circular Radius of Spherical Wedge given Surface to Volume Ratio

Go Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge)

Circular Radius of Spherical Wedge given Total Surface Area

Go Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge)))

Circular Radius of Spherical Wedge given Volume

Go Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3)

Circular Radius of Spherical Wedge given Volume Formula

Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3)
r_Circular = ((3*V)/(2*∠_Wedge))^(1/3)

What is Spherical Wedge?

In geometry, a Spherical Wedge or ungula is a portion of a ball bounded by two plane semidisks and a spherical lune (termed the wedge's base). The angle between the radii lying within the bounding semidisks is the dihedral angle of the wedge α.

How to Calculate Circular Radius of Spherical Wedge given Volume?

Circular Radius of Spherical Wedge given Volume calculator uses Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3) to calculate the Circular Radius of Spherical Wedge, The Circular Radius of Spherical Wedge given Volume formula is defined as the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge, calculated using volume. Circular Radius of Spherical Wedge is denoted by r_Circular symbol.

How to calculate Circular Radius of Spherical Wedge given Volume using this online calculator? To use this online calculator for Circular Radius of Spherical Wedge given Volume, enter Volume of Spherical Wedge (V) & Angle of Spherical Wedge (∠_Wedge) and hit the calculate button. Here is how the Circular Radius of Spherical Wedge given Volume calculation can be explained with given input values -> 9.977037 = ((3*520)/(2*0.785398163397301))^(1/3).

FAQ

What is Circular Radius of Spherical Wedge given Volume?

The Circular Radius of Spherical Wedge given Volume formula is defined as the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge, calculated using volume and is represented as r_Circular = ((3*V)/(2*∠_Wedge))^(1/3) or Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3). Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge & Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge.

How to calculate Circular Radius of Spherical Wedge given Volume?

The Circular Radius of Spherical Wedge given Volume formula is defined as the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge, calculated using volume is calculated using Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3). To calculate Circular Radius of Spherical Wedge given Volume, you need Volume of Spherical Wedge (V) & Angle of Spherical Wedge (∠_Wedge). With our tool, you need to enter the respective value for Volume of Spherical Wedge & Angle of Spherical Wedge 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 Circular Radius of Spherical Wedge?

In this formula, Circular Radius of Spherical Wedge uses Volume of Spherical Wedge & Angle of Spherical Wedge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge)))
Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge)

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