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

GoTotal Surface Area of Spherical Wedge Formula

GoTotal Surface Area of Spherical Wedge given Volume Formula

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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. Check FAQs

TSA = ((2 \cdot ∠ Wedge) + π) \cdot {(\frac{(2 \cdot ∠ Wedge) + π}{\frac{2}{3} \cdot ∠ Wedge \cdot R A/V})}^{2}

TSA - Total Surface Area of Spherical Wedge?∠_Wedge - Angle of Spherical Wedge?R_A/V - Surface to Volume Ratio of Spherical Wedge?π - Archimedes' constant?

Total Surface Area of Spherical Wedge given Surface to Volume Ratio Example

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Here is how the Total Surface Area of Spherical Wedge given Surface to Volume Ratio equation looks like with Values.

Here is how the Total Surface Area of Spherical Wedge given Surface to Volume Ratio equation looks like with Units.

Here is how the Total Surface Area of Spherical Wedge given Surface to Volume Ratio equation looks like.

471.2389 = ((2 \cdot 45) + 3.1416) \cdot {(\frac{(2 \cdot 45) + 3.1416}{\frac{2}{3} \cdot 45 \cdot 0.9})}^{2}

471.2389m² = ((2 \cdot 45°) + 3.1416) \cdot {(\frac{(2 \cdot 45°) + 3.1416}{\frac{2}{3} \cdot 45° \cdot 0.9m⁻¹})}^{2}

471.2389 = ((2 \cdot 45) + 3.1416) \cdot {(\frac{(2 \cdot 45) + 3.1416}{\frac{2}{3} \cdot 45 \cdot 0.9})}^{2}

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Total Surface Area of Spherical Wedge given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Total Surface Area of Spherical Wedge given Surface to Volume Ratio?

FIRST Step Consider the formula

TSA = ((2 \cdot ∠ Wedge) + π) \cdot {(\frac{(2 \cdot ∠ Wedge) + π}{\frac{2}{3} \cdot ∠ Wedge \cdot R A/V})}^{2}

Next Step Substitute values of Variables

∴

TSA = ((2 \cdot 45°) + π) \cdot {(\frac{(2 \cdot 45°) + π}{\frac{2}{3} \cdot 45° \cdot 0.9m⁻¹})}^{2}

Next Step Substitute values of Constants

∴

TSA = ((2 \cdot 45°) + 3.1416) \cdot {(\frac{(2 \cdot 45°) + 3.1416}{\frac{2}{3} \cdot 45° \cdot 0.9m⁻¹})}^{2}

Next Step Convert Units

∴

TSA = ((2 \cdot 0.7854rad) + 3.1416) \cdot {(\frac{(2 \cdot 0.7854rad) + 3.1416}{\frac{2}{3} \cdot 0.7854rad \cdot 0.9m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

TSA = ((2 \cdot 0.7854) + 3.1416) \cdot {(\frac{(2 \cdot 0.7854) + 3.1416}{\frac{2}{3} \cdot 0.7854 \cdot 0.9})}^{2}

Next Step Evaluate

∴

TSA = 471.238898038557m²

LAST Step Rounding Answer

∴

TSA = 471.2389m²

Total Surface Area of Spherical Wedge given Surface to Volume Ratio Formula Elements

Variables

Constants

Total Surface Area of Spherical Wedge

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.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Spherical Wedge

Angle of Spherical Wedge

Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge.

Symbol: ∠_Wedge

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Angle of Spherical Wedge

Surface to Volume Ratio of 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.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Spherical Wedge

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Total Surface Area of Spherical Wedge

Go Total Surface Area of Spherical Wedge

TSA = ((2 \cdot ∠ Wedge) + π) \cdot {r Circular}^{2}

Go Total Surface Area of Spherical Wedge given Volume

TSA = ((2 \cdot ∠ Wedge) + π) \cdot {(\frac{3 \cdot V}{2 \cdot ∠ Wedge})}^{\frac{2}{3}}

How to Evaluate Total Surface Area of Spherical Wedge given Surface to Volume Ratio?

Total Surface Area of Spherical Wedge given Surface to Volume Ratio evaluator uses 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 to evaluate the Total Surface Area of Spherical Wedge, Total Surface Area of Spherical Wedge given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Wedge, calculated using surface to volume ratio. Total Surface Area of Spherical Wedge is denoted by TSA symbol.

How to evaluate Total Surface Area of Spherical Wedge given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Total Surface Area 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.

FAQs on Total Surface Area of Spherical Wedge given Surface to Volume Ratio

What is the formula to find Total Surface Area of Spherical Wedge given Surface to Volume Ratio?

The formula of Total Surface Area of Spherical Wedge given Surface to Volume Ratio is expressed as 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. Here is an example- 471.2389 = ((2*0.785398163397301)+pi)*(((2*0.785398163397301)+pi)/(2/3*0.785398163397301*0.9))^2.

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

With Angle of Spherical Wedge (∠_Wedge) & Surface to Volume Ratio of Spherical Wedge (R_A/V) we can find Total Surface Area of Spherical Wedge given Surface to Volume Ratio using the formula - 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. This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Surface Area of Spherical Wedge?

Here are the different ways to Calculate Total Surface Area of Spherical Wedge-

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)*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(2/3)

Can the Total Surface Area of Spherical Wedge given Surface to Volume Ratio be negative?

No, the Total Surface Area of Spherical Wedge given Surface to Volume Ratio, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Spherical Wedge given Surface to Volume Ratio?

Total Surface Area of Spherical Wedge given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Spherical Wedge given Surface to Volume Ratio can be measured.

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