Surface to Volume Ratio of Spherical Wedge given Volume 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*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3))
RA/V = ((2*Wedge)+pi)/(2/3*Wedge*((3*V)/(2*Wedge))^(1/3))
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.
Volume of Spherical Wedge - (Measured in Cubic Meter) - Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge.
STEP 1: Convert Input(s) to Base Unit
Angle of Spherical Wedge: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
Volume of Spherical Wedge: 520 Cubic Meter --> 520 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = ((2*∠Wedge)+pi)/(2/3*∠Wedge*((3*V)/(2*∠Wedge))^(1/3)) --> ((2*0.785398163397301)+pi)/(2/3*0.785398163397301*((3*520)/(2*0.785398163397301))^(1/3))
Evaluating ... ...
RA/V = 0.902071445382551
STEP 3: Convert Result to Output's Unit
0.902071445382551 1 per Meter --> No Conversion Required
FINAL ANSWER
0.902071445382551 0.902071 1 per Meter <-- Surface to Volume Ratio of Spherical Wedge
(Calculation completed in 00.018 seconds)

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Walchand College of Engineering (WCE), Sangli
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Surface to Volume Ratio of Spherical Wedge Calculators

Surface to Volume Ratio of Spherical Wedge given Total Surface Area
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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 given Volume Formula

​LaTeX ​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))
RA/V = ((2*Wedge)+pi)/(2/3*Wedge*((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 Surface to Volume Ratio of Spherical Wedge given Volume?

Surface to Volume Ratio of Spherical Wedge given Volume calculator uses 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)) to calculate the Surface to Volume Ratio of Spherical Wedge, Surface to Volume Ratio of Spherical Wedge given Volume formula is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge, calculated using volume. Surface to Volume Ratio of Spherical Wedge is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Spherical Wedge given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Spherical Wedge given Volume, enter Angle of Spherical Wedge (∠Wedge) & Volume of Spherical Wedge (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Spherical Wedge given Volume calculation can be explained with given input values -> 0.902071 = ((2*0.785398163397301)+pi)/(2/3*0.785398163397301*((3*520)/(2*0.785398163397301))^(1/3)).

FAQ

What is Surface to Volume Ratio of Spherical Wedge given Volume?
Surface to Volume Ratio of Spherical Wedge given Volume formula is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge, calculated using volume and is represented as RA/V = ((2*∠Wedge)+pi)/(2/3*∠Wedge*((3*V)/(2*∠Wedge))^(1/3)) or 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)). Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge & Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge.
How to calculate Surface to Volume Ratio of Spherical Wedge given Volume?
Surface to Volume Ratio of Spherical Wedge given Volume formula is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge, calculated using volume is calculated using 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)). To calculate Surface to Volume Ratio of Spherical Wedge given Volume, you need Angle of Spherical Wedge (∠Wedge) & Volume of Spherical Wedge (V). With our tool, you need to enter the respective value for Angle of Spherical Wedge & Volume 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 & Volume 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*Circular Radius of Spherical Wedge)
  • 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)))
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