Volume of Spherical Wedge given Surface to Volume Ratio Calculator

✖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%
✖Surface to Volume Ratio of Spherical Wedge is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge.ⓘ Surface to Volume Ratio of Spherical Wedge [R_A/V]			+10% -10%

✖Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge.ⓘ Volume of Spherical Wedge given Surface to Volume Ratio [V]

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Formula

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Volume of Spherical Wedge given Surface to Volume Ratio

Formula

`"V" = 2/3*"∠"_{"Wedge"}*(((2*"∠"_{"Wedge"})+pi)/(2/3*"∠"_{"Wedge"}*"R"_{"A/V"}))^3`

Example

`"523.5988m³"=2/3*"45°"*(((2*"45°")+pi)/(2/3*"45°"*"0.9m⁻¹"))^3`

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Volume of Spherical Wedge given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Spherical Wedge = 2/3*Angle of Spherical Wedge*(((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge))^3
V = 2/3*∠_Wedge*(((2*∠_Wedge)+pi)/(2/3*∠_Wedge*R_A/V))^3
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Surface to Volume Ratio of Spherical Wedge - (Measured in 1 per Meter) - Surface to Volume Ratio of Spherical Wedge is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge.

STEP 1: Convert Input(s) to Base Unit

Angle of Spherical Wedge: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Surface to Volume Ratio of Spherical Wedge: 0.9 1 per Meter --> 0.9 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/3*∠_Wedge*(((2*∠_Wedge)+pi)/(2/3*∠_Wedge*R_A/V))^3 --> 2/3*0.785398163397301*(((2*0.785398163397301)+pi)/(2/3*0.785398163397301*0.9))^3

Evaluating ... ...

V = 523.598775598397

STEP 3: Convert Result to Output's Unit

523.598775598397 Cubic Meter --> No Conversion Required

FINAL ANSWER

523.598775598397 ≈ 523.5988 Cubic Meter <-- Volume of Spherical Wedge

(Calculation completed in 00.004 seconds)

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< 3 Volume of Spherical Wedge Calculators

Volume of Spherical Wedge given Surface to Volume Ratio

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

Volume of Spherical Wedge given Total Surface Area

Go Volume of Spherical Wedge = 2/3*Angle of Spherical Wedge*(Total Surface Area of Spherical Wedge/((2*Angle of Spherical Wedge)+pi))^(3/2)

Volume of Spherical Wedge

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

Volume of Spherical Wedge given Surface to Volume Ratio Formula

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 Volume of Spherical Wedge given Surface to Volume Ratio?

Volume of Spherical Wedge given Surface to Volume Ratio calculator uses Volume of Spherical Wedge = 2/3*Angle of Spherical Wedge*(((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge))^3 to calculate the Volume of Spherical Wedge, Volume of Spherical Wedge given Surface to Volume Ratio formula is defined as amount of three dimensional space covered by Spherical Wedge, calculated using surface to volume ratio. Volume of Spherical Wedge is denoted by V symbol.

How to calculate Volume of Spherical Wedge given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Spherical Wedge given Surface to Volume Ratio, enter Angle of Spherical Wedge (∠_Wedge) & Surface to Volume Ratio of Spherical Wedge (R_A/V) and hit the calculate button. Here is how the Volume of Spherical Wedge given Surface to Volume Ratio calculation can be explained with given input values -> 523.5988 = 2/3*0.785398163397301*(((2*0.785398163397301)+pi)/(2/3*0.785398163397301*0.9))^3.

FAQ

What is Volume of Spherical Wedge given Surface to Volume Ratio?

Volume of Spherical Wedge given Surface to Volume Ratio formula is defined as amount of three dimensional space covered by Spherical Wedge, calculated using surface to volume ratio and is represented as V = 2/3*∠_Wedge*(((2*∠_Wedge)+pi)/(2/3*∠_Wedge*R_A/V))^3 or Volume of Spherical Wedge = 2/3*Angle of Spherical Wedge*(((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge))^3. Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge & Surface to Volume Ratio of Spherical Wedge is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge.

How to calculate Volume of Spherical Wedge given Surface to Volume Ratio?

Volume of Spherical Wedge given Surface to Volume Ratio formula is defined as amount of three dimensional space covered by Spherical Wedge, calculated using surface to volume ratio is calculated using Volume of Spherical Wedge = 2/3*Angle of Spherical Wedge*(((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge))^3. To calculate Volume of Spherical Wedge given Surface to Volume Ratio, you need Angle of Spherical Wedge (∠_Wedge) & Surface to Volume Ratio of Spherical Wedge (R_A/V). With our tool, you need to enter the respective value for Angle of Spherical Wedge & Surface to Volume Ratio 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 Volume of Spherical Wedge?

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

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

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