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Volume of Spherical Wedge given Surface to Volume Ratio Formula

GoVolume of Spherical Wedge Formula

GoVolume of Spherical Wedge given Total Surface Area Formula

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Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge. Check FAQs

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

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

Volume of Spherical Wedge given Surface to Volume Ratio Example

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

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

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

523.5988 = \frac{2}{3} \cdot 45 \cdot {(\frac{(2 \cdot 45) + 3.1416}{\frac{2}{3} \cdot 45 \cdot 0.9})}^{3}

523.5988m³ = \frac{2}{3} \cdot 45° \cdot {(\frac{(2 \cdot 45°) + 3.1416}{\frac{2}{3} \cdot 45° \cdot 0.9m⁻¹})}^{3}

523.5988 = \frac{2}{3} \cdot 45 \cdot {(\frac{(2 \cdot 45) + 3.1416}{\frac{2}{3} \cdot 45 \cdot 0.9})}^{3}

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Volume of Spherical Wedge given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 523.598775598397m³

LAST Step Rounding Answer

∴

V = 523.5988m³

Volume of Spherical Wedge given Surface to Volume Ratio Formula Elements

Variables

Constants

Volume of Spherical Wedge

Volume of Spherical Wedge is defined as amount of three dimensional space occupied by Spherical wedge.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume of Spherical Wedge

Go Volume of Spherical Wedge

V = \frac{2}{3} \cdot ∠ Wedge \cdot {r Circular}^{3}

Go Volume of Spherical Wedge given Total Surface Area

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

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

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

FAQs on Volume of Spherical Wedge given Surface to Volume Ratio

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

The formula of Volume of Spherical Wedge given Surface to Volume Ratio is expressed as 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. Here is an example- 523.5988 = 2/3*0.785398163397301*(((2*0.785398163397301)+pi)/(2/3*0.785398163397301*0.9))^3.

How to calculate Volume 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 Volume of Spherical Wedge given Surface to Volume Ratio using the formula - 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. This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Spherical Wedge?

Here are the different ways to Calculate Volume of Spherical Wedge-

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)

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

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

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

Volume of Spherical Wedge given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Spherical Wedge given Surface to Volume Ratio can be measured.

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