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

GoSurface to Volume Ratio of Spherical Cap given Cap Radius Formula

GoSurface to Volume Ratio of Spherical Cap given Curved Surface Area Formula

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

R A/V = \frac{24 \cdot π^{2} \cdot {r Sphere}^{3} \cdot (CSA + (π \cdot {r Cap}^{2}))}{{CSA}^{2} \cdot ((6 \cdot π \cdot {r Sphere}^{2}) - CSA)}

R_A/V - Surface to Volume Ratio of Spherical Cap?r_Sphere - Sphere Radius of Spherical Cap?CSA - Curved Surface Area of Spherical Cap?r_Cap - Cap Radius of Spherical Cap?π - Archimedes' constant?

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

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

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

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

1.0456 = \frac{24 \cdot {3.1416}^{2} \cdot 10^{3} \cdot (250 + (3.1416 \cdot 8^{2}))}{250^{2} \cdot ((6 \cdot 3.1416 \cdot 10^{2}) - 250)}

1.0456m⁻¹ = \frac{24 \cdot {3.1416}^{2} \cdot {10m}^{3} \cdot (250m² + (3.1416 \cdot {8m}^{2}))}{{250m²}^{2} \cdot ((6 \cdot 3.1416 \cdot {10m}^{2}) - 250m²)}

1.0456 = \frac{24 \cdot {3.1416}^{2} \cdot 10^{3} \cdot (250 + (3.1416 \cdot 8^{2}))}{250^{2} \cdot ((6 \cdot 3.1416 \cdot 10^{2}) - 250)}

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

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

FIRST Step Consider the formula

R A/V = \frac{24 \cdot π^{2} \cdot {r Sphere}^{3} \cdot (CSA + (π \cdot {r Cap}^{2}))}{{CSA}^{2} \cdot ((6 \cdot π \cdot {r Sphere}^{2}) - CSA)}

Next Step Substitute values of Variables

∴

R A/V = \frac{24 \cdot π^{2} \cdot {10m}^{3} \cdot (250m² + (π \cdot {8m}^{2}))}{{250m²}^{2} \cdot ((6 \cdot π \cdot {10m}^{2}) - 250m²)}

Next Step Substitute values of Constants

∴

R A/V = \frac{24 \cdot {3.1416}^{2} \cdot {10m}^{3} \cdot (250m² + (3.1416 \cdot {8m}^{2}))}{{250m²}^{2} \cdot ((6 \cdot 3.1416 \cdot {10m}^{2}) - 250m²)}

Next Step Prepare to Evaluate

∴

R A/V = \frac{24 \cdot {3.1416}^{2} \cdot 10^{3} \cdot (250 + (3.1416 \cdot 8^{2}))}{250^{2} \cdot ((6 \cdot 3.1416 \cdot 10^{2}) - 250)}

Next Step Evaluate

∴

R A/V = 1.04558942542749m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.0456m⁻¹

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

Variables

Constants

Surface to Volume Ratio of Spherical Cap

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

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 Cap

Sphere Radius of Spherical Cap

Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.

Symbol: r_Sphere

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sphere Radius of Spherical Cap

Curved Surface Area of Spherical Cap

Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap.

Symbol: CSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Curved Surface Area of Spherical Cap

Cap Radius of Spherical Cap

Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.

Symbol: r_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cap Radius of Spherical Cap

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 Cap

Go Surface to Volume Ratio of Spherical Cap given Cap Radius

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

Go Surface to Volume Ratio of Spherical Cap given Curved Surface Area

R A/V = \frac{24 \cdot π^{2} \cdot {r Sphere}^{3} \cdot ((2 \cdot CSA) - (π \cdot h^{2}))}{{CSA}^{2} \cdot ((6 \cdot π \cdot {r Sphere}^{2}) - CSA)}

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

R A/V = \frac{TSA}{V}

Go Surface to Volume Ratio of Spherical Cap

R A/V = \frac{3 \cdot ((4 \cdot r Sphere) - h)}{h \cdot ((3 \cdot r Sphere) - h)}

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

Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius evaluator uses Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*(Curved Surface Area of Spherical Cap+(pi*Cap Radius of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap)) to evaluate the Surface to Volume Ratio of Spherical Cap, Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius formula is defined as the numerical ratio of the total surface area of a Spherical Cap to the volume of the Spherical Cap, and calculated using the curved surface area, cap radius and sphere radius of the Spherical Cap. Surface to Volume Ratio of Spherical Cap is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius, enter Sphere Radius of Spherical Cap (r_Sphere), Curved Surface Area of Spherical Cap (CSA) & Cap Radius of Spherical Cap (r_Cap) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius is expressed as Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*(Curved Surface Area of Spherical Cap+(pi*Cap Radius of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap)). Here is an example- 1.045589 = (24*pi^2*10^3*(250+(pi*8^2)))/(250^2*((6*pi*10^2)-250)).

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

With Sphere Radius of Spherical Cap (r_Sphere), Curved Surface Area of Spherical Cap (CSA) & Cap Radius of Spherical Cap (r_Cap) we can find Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius using the formula - Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*(Curved Surface Area of Spherical Cap+(pi*Cap Radius of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap)). This formula also uses Archimedes' constant .

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

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

Surface to Volume Ratio of Spherical Cap=(3*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2))/(Height of Spherical Cap^2*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap))
Surface to Volume Ratio of Spherical Cap=(24*pi^2*Sphere Radius of Spherical Cap^3*((2*Curved Surface Area of Spherical Cap)-(pi*Height of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))
Surface to Volume Ratio of Spherical Cap=Total Surface Area of Spherical Cap/Volume of Spherical Cap

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

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

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

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

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

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

​GoSurface to Volume Ratio of Spherical Cap given Curved Surface Area Formula

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

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

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

Other Formulas to find Surface to Volume Ratio of Spherical Cap

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

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

Variable Name

GoSurface to Volume Ratio of Spherical Cap given Cap Radius Formula

GoSurface to Volume Ratio of Spherical Cap given Curved Surface Area Formula