Total Surface Area of Spherical Wedge given Volume 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%
✖Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge.ⓘ Volume of Spherical Wedge [V]			+10% -10%

✖Total Surface Area of Spherical Wedge is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Wedge.ⓘ Total Surface Area of Spherical Wedge given Volume [TSA]

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Total Surface Area of Spherical Wedge given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Surface Area of Spherical Wedge - (Measured in Square Meter) - Total Surface Area of Spherical Wedge is defined as the total quantity of two dimensional space enclosed on the entire surface 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

TSA = ((2*∠_Wedge)+pi)*((3*V)/(2*∠_Wedge))^(2/3) --> ((2*0.785398163397301)+pi)*((3*520)/(2*0.785398163397301))^(2/3)

Evaluating ... ...

TSA = 469.077151598926

STEP 3: Convert Result to Output's Unit

469.077151598926 Square Meter --> No Conversion Required

FINAL ANSWER

469.077151598926 ≈ 469.0772 Square Meter <-- Total Surface Area of Spherical Wedge

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Total Surface Area of Spherical Wedge Calculators

Total Surface Area of Spherical Wedge given Surface to Volume Ratio

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

Total Surface Area of Spherical Wedge given Volume

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

Total Surface Area of Spherical Wedge

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

Total Surface Area of Spherical Wedge given Volume Formula

LaTeX Go

Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(2/3)
TSA = ((2*∠_Wedge)+pi)*((3*V)/(2*∠_Wedge))^(2/3)

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 Total Surface Area of Spherical Wedge given Volume?

Total Surface Area of Spherical Wedge given Volume calculator uses Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(2/3) to calculate the Total Surface Area of Spherical Wedge, Total Surface Area of Spherical Wedge given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Wedge, calculated using volume. Total Surface Area of Spherical Wedge is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Wedge given Volume using this online calculator? To use this online calculator for Total Surface Area 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 Total Surface Area of Spherical Wedge given Volume calculation can be explained with given input values -> 469.0772 = ((2*0.785398163397301)+pi)*((3*520)/(2*0.785398163397301))^(2/3).

FAQ

What is Total Surface Area of Spherical Wedge given Volume?

Total Surface Area of Spherical Wedge given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Wedge, calculated using volume and is represented as TSA = ((2*∠_Wedge)+pi)*((3*V)/(2*∠_Wedge))^(2/3) or Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(2/3). 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 Total Surface Area of Spherical Wedge given Volume?

Total Surface Area of Spherical Wedge given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Wedge, calculated using volume is calculated using Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(2/3). To calculate Total Surface Area 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 Total Surface Area of Spherical Wedge?

In this formula, Total Surface Area 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 -

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

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