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Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Formula

GoSurface to Volume Ratio of Spherical Sector given Spherical Cap Radius Formula

GoSurface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Formula

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Surface to Volume Ratio of Spherical Sector is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector. Check FAQs

R A/V = \frac{(2 \cdot h Cap) + r Cap}{2 \cdot \frac{TSA}{π \cdot ((2 \cdot h Cap) + r Cap)} \cdot \frac{h Cap}{3}}

R_A/V - Surface to Volume Ratio of Spherical Sector?h_Cap - Spherical Cap Height of Spherical Sector?r_Cap - Spherical Cap Radius of Spherical Sector?TSA - Total Surface Area of Spherical Sector?π - Archimedes' constant?

Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Example

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Here is how the Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius equation looks like with Values.

Here is how the Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius equation looks like with Units.

Here is how the Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius equation looks like.

0.6032 = \frac{(2 \cdot 4) + 8}{2 \cdot \frac{500}{3.1416 \cdot ((2 \cdot 4) + 8)} \cdot \frac{4}{3}}

0.6032m⁻¹ = \frac{(2 \cdot 4m) + 8m}{2 \cdot \frac{500m²}{3.1416 \cdot ((2 \cdot 4m) + 8m)} \cdot \frac{4m}{3}}

0.6032 = \frac{(2 \cdot 4) + 8}{2 \cdot \frac{500}{3.1416 \cdot ((2 \cdot 4) + 8)} \cdot \frac{4}{3}}

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Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius?

FIRST Step Consider the formula

R A/V = \frac{(2 \cdot h Cap) + r Cap}{2 \cdot \frac{TSA}{π \cdot ((2 \cdot h Cap) + r Cap)} \cdot \frac{h Cap}{3}}

Next Step Substitute values of Variables

∴

R A/V = \frac{(2 \cdot 4m) + 8m}{2 \cdot \frac{500m²}{π \cdot ((2 \cdot 4m) + 8m)} \cdot \frac{4m}{3}}

Next Step Substitute values of Constants

∴

R A/V = \frac{(2 \cdot 4m) + 8m}{2 \cdot \frac{500m²}{3.1416 \cdot ((2 \cdot 4m) + 8m)} \cdot \frac{4m}{3}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(2 \cdot 4) + 8}{2 \cdot \frac{500}{3.1416 \cdot ((2 \cdot 4) + 8)} \cdot \frac{4}{3}}

Next Step Evaluate

∴

R A/V = 0.60318578948924m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6032m⁻¹

Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Formula Elements

Variables

Constants

Surface to Volume Ratio of Spherical Sector

Surface to Volume Ratio of Spherical Sector is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector.

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 Sector

Spherical Cap Height of Spherical Sector

Spherical Cap Height of Spherical Sector is the vertical distance from the topmost point to the bottom level of the cap surface of the Spherical Sector.

Symbol: h_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spherical Cap Height of Spherical Sector

Spherical Cap Radius of Spherical Sector

Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector.

Symbol: r_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spherical Cap Radius of Spherical Sector

Total Surface Area of Spherical Sector

Total Surface Area of Spherical Sector is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Spherical Sector.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Spherical Sector

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 Surface to Volume Ratio of Spherical Sector

Go Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius

R A/V = \frac{(2 \cdot h Cap) + r Cap}{(\frac{{r Cap}^{2}}{h Cap} + h Cap) \cdot \frac{h Cap}{3}}

Go Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height

R A/V = \frac{(2 \cdot h Cap) + r Cap}{2 \cdot \frac{h Cap}{3} \cdot \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}}}

Go Surface to Volume Ratio of Spherical Sector

R A/V = \frac{(2 \cdot h Cap) + \sqrt{h Cap \cdot ((2 \cdot r Sphere) - h Cap)}}{2 \cdot r Sphere \cdot \frac{h Cap}{3}}

Go Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Height

R A/V = \frac{(2 \cdot h Cap) + (\frac{TSA}{π \cdot r Sphere} - (2 \cdot h Cap))}{2 \cdot r Sphere \cdot \frac{h Cap}{3}}

How to Evaluate Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius?

Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius evaluator uses Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))*Spherical Cap Height of Spherical Sector/3) to evaluate the Surface to Volume Ratio of Spherical Sector, Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius formula is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector, calculated using its total surface area and spherical cap radius. Surface to Volume Ratio of Spherical Sector is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius, enter Spherical Cap Height of Spherical Sector (h_Cap), Spherical Cap Radius of Spherical Sector (r_Cap) & Total Surface Area of Spherical Sector (TSA) and hit the calculate button.

FAQs on Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius

What is the formula to find Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius?

The formula of Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius is expressed as Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))*Spherical Cap Height of Spherical Sector/3). Here is an example- 0.603186 = ((2*4)+8)/(2*500/(pi*((2*4)+8))*4/3).

How to calculate Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius?

With Spherical Cap Height of Spherical Sector (h_Cap), Spherical Cap Radius of Spherical Sector (r_Cap) & Total Surface Area of Spherical Sector (TSA) we can find Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius using the formula - Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))*Spherical Cap Height of Spherical Sector/3). This formula also uses Archimedes' constant .

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

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

Surface to Volume Ratio of Spherical Sector=((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)*Spherical Cap Height of Spherical Sector/3)
Surface to Volume Ratio of Spherical Sector=((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Spherical Cap Height of Spherical Sector/3*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)))
Surface to Volume Ratio of Spherical Sector=((2*Spherical Cap Height of Spherical Sector)+sqrt(Spherical Cap Height of Spherical Sector*((2*Spherical Radius of Spherical Sector)-Spherical Cap Height of Spherical Sector)))/(2*Spherical Radius of Spherical Sector*Spherical Cap Height of Spherical Sector/3)

Can the Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius be negative?

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

Which unit is used to measure Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius?

Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius 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 Sector given Total Surface Area and Spherical Cap Radius can be measured.

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Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Formula

​GoSurface to Volume Ratio of Spherical Sector given Spherical Cap Radius Formula

​GoSurface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Formula

Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Example

Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Solution

Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Formula Elements

Other Formulas to find Surface to Volume Ratio of Spherical Sector

How to Evaluate Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius?

FAQs on Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius

Variable Name

GoSurface to Volume Ratio of Spherical Sector given Spherical Cap Radius Formula

GoSurface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Formula