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

GoSurface to Volume Ratio of Spherical Wedge Formula

GoSurface to Volume Ratio of Spherical Wedge given Volume Formula

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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. Check FAQs

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

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

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

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

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

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

0.9012 = \frac{(2 \cdot 45) + 3.1416}{\frac{2}{3} \cdot 45 \cdot \sqrt{\frac{470}{(2 \cdot 45) + 3.1416}}}

0.9012m⁻¹ = \frac{(2 \cdot 45°) + 3.1416}{\frac{2}{3} \cdot 45° \cdot \sqrt{\frac{470m²}{(2 \cdot 45°) + 3.1416}}}

0.9012 = \frac{(2 \cdot 45) + 3.1416}{\frac{2}{3} \cdot 45 \cdot \sqrt{\frac{470}{(2 \cdot 45) + 3.1416}}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{(2 \cdot 45°) + π}{\frac{2}{3} \cdot 45° \cdot \sqrt{\frac{470m²}{(2 \cdot 45°) + π}}}

Next Step Substitute values of Constants

∴

R A/V = \frac{(2 \cdot 45°) + 3.1416}{\frac{2}{3} \cdot 45° \cdot \sqrt{\frac{470m²}{(2 \cdot 45°) + 3.1416}}}

Next Step Convert Units

∴

R A/V = \frac{(2 \cdot 0.7854rad) + 3.1416}{\frac{2}{3} \cdot 0.7854rad \cdot \sqrt{\frac{470m²}{(2 \cdot 0.7854rad) + 3.1416}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(2 \cdot 0.7854) + 3.1416}{\frac{2}{3} \cdot 0.7854 \cdot \sqrt{\frac{470}{(2 \cdot 0.7854) + 3.1416}}}

Next Step Evaluate

∴

R A/V = 0.901185398323539m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.9012m⁻¹

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

Variables

Constants

Functions

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Surface to Volume Ratio of Spherical Wedge

Go Surface to Volume Ratio of Spherical Wedge

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

Go Surface to Volume Ratio of Spherical Wedge given Volume

R A/V = \frac{(2 \cdot ∠ Wedge) + π}{\frac{2}{3} \cdot ∠ Wedge \cdot {(\frac{3 \cdot V}{2 \cdot ∠ Wedge})}^{\frac{1}{3}}}

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

Surface to Volume Ratio of Spherical Wedge given Total Surface Area evaluator uses 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))) to evaluate the Surface to Volume Ratio of Spherical Wedge, Surface to Volume Ratio of Spherical Wedge given Total Surface Area formula is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge, calculated using total surface area. Surface to Volume Ratio of Spherical Wedge is denoted by R_A/V symbol.

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

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

The formula of Surface to Volume Ratio of Spherical Wedge given Total Surface Area is expressed as 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))). Here is an example- 0.901185 = ((2*0.785398163397301)+pi)/(2/3*0.785398163397301*sqrt(470/((2*0.785398163397301)+pi))).

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

With Angle of Spherical Wedge (∠_Wedge) & Total Surface Area of Spherical Wedge (TSA) we can find Surface to Volume Ratio of Spherical Wedge given Total Surface Area using the formula - 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))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

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*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3))

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

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

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

Surface to Volume Ratio of Spherical Wedge given Total Surface Area is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Spherical Wedge given Total Surface Area can be measured.

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