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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
RA/V=(2hCap)+rCap(rCap2hCap+hCap)hCap3
RA/V - Surface to Volume Ratio of Spherical Sector?hCap - Spherical Cap Height of Spherical Sector?rCap - Spherical Cap Radius of Spherical Sector?

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

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

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

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

0.6Edit=(24Edit)+8Edit(8Edit24Edit+4Edit)4Edit3
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Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius Solution

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

FIRST Step Consider the formula
RA/V=(2hCap)+rCap(rCap2hCap+hCap)hCap3
Next Step Substitute values of Variables
RA/V=(24m)+8m(8m24m+4m)4m3
Next Step Prepare to Evaluate
RA/V=(24)+8(824+4)43
LAST Step Evaluate
RA/V=0.6m⁻¹

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

Variables
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: RA/V
Measurement: Reciprocal LengthUnit: m⁻¹
Note: Value should be greater than 0.
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: hCap
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: rCap
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Surface to Volume Ratio of Spherical Sector

​Go Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius
RA/V=(2hCap)+rCap2TSAπ((2hCap)+rCap)hCap3
​Go Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height
RA/V=(2hCap)+rCap2hCap33V2πhCap
​Go Surface to Volume Ratio of Spherical Sector
RA/V=(2hCap)+hCap((2rSphere)-hCap)2rSpherehCap3
​Go Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Height
RA/V=(2hCap)+(TSAπrSphere-(2hCap))2rSpherehCap3

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

Surface to Volume Ratio of Spherical Sector given 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)/(((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) to evaluate the Surface to Volume Ratio of Spherical Sector, Surface to Volume Ratio of Spherical Sector given 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 spherical cap radius. Surface to Volume Ratio of Spherical Sector is denoted by RA/V symbol.

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

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

What is the formula to find Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius?
The formula of Surface to Volume Ratio of Spherical Sector given 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)/(((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). Here is an example- 0.6 = ((2*4)+8)/(((8^2)/4+4)*4/3).
How to calculate Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius?
With Spherical Cap Height of Spherical Sector (hCap) & Spherical Cap Radius of Spherical Sector (rCap) we can find Surface to Volume Ratio of Spherical Sector given 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)/(((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).
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)/(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)OpenImg
  • 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)))OpenImg
  • 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)OpenImg
Can the Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius be negative?
No, the Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius, measured in Reciprocal Length cannot be negative.
Which unit is used to measure Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius?
Surface to Volume Ratio of Spherical Sector given 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 Spherical Cap Radius can be measured.
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