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Volume of Spherical Wedge given Total Surface Area Formula

GoVolume of Spherical Wedge Formula

GoVolume of Spherical Wedge given Surface to Volume Ratio 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{TSA}{(2 \cdot ∠ Wedge) + π})}^{\frac{3}{2}}

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

Volume of Spherical Wedge given Total Surface Area Example

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

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

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

521.5353 = \frac{2}{3} \cdot 45 \cdot {(\frac{470}{(2 \cdot 45) + 3.1416})}^{\frac{3}{2}}

521.5353m³ = \frac{2}{3} \cdot 45° \cdot {(\frac{470m²}{(2 \cdot 45°) + 3.1416})}^{\frac{3}{2}}

521.5353 = \frac{2}{3} \cdot 45 \cdot {(\frac{470}{(2 \cdot 45) + 3.1416})}^{\frac{3}{2}}

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Volume of Spherical Wedge given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot 45° \cdot {(\frac{470m²}{(2 \cdot 45°) + π})}^{\frac{3}{2}}

Next Step Substitute values of Constants

∴

V = \frac{2}{3} \cdot 45° \cdot {(\frac{470m²}{(2 \cdot 45°) + 3.1416})}^{\frac{3}{2}}

Next Step Convert Units

∴

V = \frac{2}{3} \cdot 0.7854rad \cdot {(\frac{470m²}{(2 \cdot 0.7854rad) + 3.1416})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot 0.7854 \cdot {(\frac{470}{(2 \cdot 0.7854) + 3.1416})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 521.535303250955m³

LAST Step Rounding Answer

∴

V = 521.5353m³

Volume of Spherical Wedge given Total Surface Area 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

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

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 Surface to Volume Ratio

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

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

Volume of Spherical Wedge given Total Surface Area evaluator uses Volume of Spherical Wedge = 2/3*Angle of Spherical Wedge*(Total Surface Area of Spherical Wedge/((2*Angle of Spherical Wedge)+pi))^(3/2) to evaluate the Volume of Spherical Wedge, Volume of Spherical Wedge given Total Surface Area formula is defined as amount of three dimensional space occupied by Spherical Wedge, calculated using total surface area. Volume of Spherical Wedge is denoted by V symbol.

How to evaluate Volume of Spherical Wedge given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Spherical Wedge given Total Surface Area, enter Angle of Spherical Wedge (∠_Wedge) & Total Surface Area of Spherical Wedge (TSA) and hit the calculate button.

FAQs on Volume of Spherical Wedge given Total Surface Area

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

The formula of Volume of Spherical Wedge given Total Surface Area is expressed as Volume of Spherical Wedge = 2/3*Angle of Spherical Wedge*(Total Surface Area of Spherical Wedge/((2*Angle of Spherical Wedge)+pi))^(3/2). Here is an example- 521.5353 = 2/3*0.785398163397301*(470/((2*0.785398163397301)+pi))^(3/2).

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

With Angle of Spherical Wedge (∠_Wedge) & Total Surface Area of Spherical Wedge (TSA) we can find Volume of Spherical Wedge given Total Surface Area using the formula - Volume of Spherical Wedge = 2/3*Angle of Spherical Wedge*(Total Surface Area of Spherical Wedge/((2*Angle of Spherical Wedge)+pi))^(3/2). 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*(((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge))^3

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

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

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

Volume of Spherical Wedge given Total Surface Area 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 Total Surface Area can be measured.

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