Surface to Volume Ratio of Spherical Wedge 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%
✖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 [r_Circular]			+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]

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Formula

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Surface to Volume Ratio of Spherical Wedge

Formula

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

Example

`"0.9m⁻¹"=((2*"45°")+pi)/(2/3*"45°"*"10m")`

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Surface to Volume Ratio of Spherical Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Angle of Spherical Wedge: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Circular Radius of Spherical Wedge: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((2*∠_Wedge)+pi)/(2/3*∠_Wedge*r_Circular) --> ((2*0.785398163397301)+pi)/(2/3*0.785398163397301*10)

Evaluating ... ...

R_A/V = 0.900000000000113

STEP 3: Convert Result to Output's Unit

0.900000000000113 1 per Meter --> No Conversion Required

FINAL ANSWER

0.900000000000113 ≈ 0.9 1 per Meter <-- Surface to Volume Ratio of Spherical Wedge

(Calculation completed in 00.020 seconds)

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< 3 Surface to Volume Ratio of Spherical Wedge Calculators

Surface to Volume Ratio of Spherical Wedge given Total Surface Area

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

Surface to Volume Ratio of Spherical Wedge given Volume

Go Surface to Volume Ratio of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3))

Surface to Volume Ratio of Spherical Wedge

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

Surface to Volume Ratio of Spherical Wedge Formula

Surface to Volume Ratio of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Circular Radius of Spherical Wedge)
R_A/V = ((2*∠_Wedge)+pi)/(2/3*∠_Wedge*r_Circular)

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 Surface to Volume Ratio of Spherical Wedge?

Surface to Volume Ratio of Spherical Wedge calculator uses Surface to Volume Ratio of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Circular Radius of Spherical Wedge) to calculate the Surface to Volume Ratio of Spherical Wedge, Surface to Volume Ratio of Spherical Wedge formula 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 is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Spherical Wedge using this online calculator? To use this online calculator for Surface to Volume Ratio of Spherical Wedge, enter Angle of Spherical Wedge (∠_Wedge) & Circular Radius of Spherical Wedge (r_Circular) and hit the calculate button. Here is how the Surface to Volume Ratio of Spherical Wedge calculation can be explained with given input values -> 0.9 = ((2*0.785398163397301)+pi)/(2/3*0.785398163397301*10).

FAQ

What is Surface to Volume Ratio of Spherical Wedge?

Surface to Volume Ratio of Spherical Wedge formula is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge and is represented as R_A/V = ((2*∠_Wedge)+pi)/(2/3*∠_Wedge*r_Circular) or Surface to Volume Ratio of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Circular Radius of Spherical Wedge). Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge & 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.

How to calculate Surface to Volume Ratio of Spherical Wedge?

Surface to Volume Ratio of Spherical Wedge formula is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge is calculated using Surface to Volume Ratio of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Circular Radius of Spherical Wedge). To calculate Surface to Volume Ratio of Spherical Wedge, you need Angle of Spherical Wedge (∠_Wedge) & Circular Radius of Spherical Wedge (r_Circular). With our tool, you need to enter the respective value for Angle of Spherical Wedge & Circular Radius 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 Surface to Volume Ratio of Spherical Wedge?

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

Surface to Volume Ratio of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*sqrt(Total Surface Area of Spherical Wedge/((2*Angle of Spherical Wedge)+pi)))
Surface to Volume Ratio of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3))

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