Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height Calculator

✖The Cylindrical Radius of Spherical Ring is the distance between the centre any point on the circumference of circular faces of the cylindrical hole of the Spherical Ring.ⓘ Cylindrical Radius of Spherical Ring [r_Cylinder]			+10% -10%
✖The Cylindrical Height of Spherical Ring is the distance between the circular faces of the cylindrical hole of the Spherical Ring.ⓘ Cylindrical Height of Spherical Ring [h_Cylinder]			+10% -10%

✖Surface to Volume Ratio of Spherical Ring is the numerical ratio of the total surface area of a Spherical Ring to the volume of the Spherical Ring.ⓘ Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height [R_A/V]

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Formula

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Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height

Formula

`"R"_{"A/V"} = (12*(sqrt("r"_{"Cylinder"}^2+("h"_{"Cylinder"}^2)/4)+"r"_{"Cylinder"}))/"h"_{"Cylinder"}^2`

Example

`"1.402256m⁻¹"=(12*(sqrt(("6m")^2+(("11m")^2)/4)+"6m"))/("11m")^2`

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Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Spherical Ring = (12*(sqrt(Cylindrical Radius of Spherical Ring^2+(Cylindrical Height of Spherical Ring^2)/4)+Cylindrical Radius of Spherical Ring))/Cylindrical Height of Spherical Ring^2
R_A/V = (12*(sqrt(r_Cylinder^2+(h_Cylinder^2)/4)+r_Cylinder))/h_Cylinder^2
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Surface to Volume Ratio of Spherical Ring - (Measured in 1 per Meter) - Surface to Volume Ratio of Spherical Ring is the numerical ratio of the total surface area of a Spherical Ring to the volume of the Spherical Ring.
Cylindrical Radius of Spherical Ring - (Measured in Meter) - The Cylindrical Radius of Spherical Ring is the distance between the centre any point on the circumference of circular faces of the cylindrical hole of the Spherical Ring.
Cylindrical Height of Spherical Ring - (Measured in Meter) - The Cylindrical Height of Spherical Ring is the distance between the circular faces of the cylindrical hole of the Spherical Ring.

STEP 1: Convert Input(s) to Base Unit

Cylindrical Radius of Spherical Ring: 6 Meter --> 6 Meter No Conversion Required
Cylindrical Height of Spherical Ring: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (12*(sqrt(r_Cylinder^2+(h_Cylinder^2)/4)+r_Cylinder))/h_Cylinder^2 --> (12*(sqrt(6^2+(11^2)/4)+6))/11^2

Evaluating ... ...

R_A/V = 1.40225556674875

STEP 3: Convert Result to Output's Unit

1.40225556674875 1 per Meter --> No Conversion Required

FINAL ANSWER

1.40225556674875 ≈ 1.402256 1 per Meter <-- Surface to Volume Ratio of Spherical Ring

(Calculation completed in 00.009 seconds)

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< 4 Surface to Volume Ratio of Spherical Ring Calculators

Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height

Go Surface to Volume Ratio of Spherical Ring = (12*(sqrt(Cylindrical Radius of Spherical Ring^2+(Cylindrical Height of Spherical Ring^2)/4)+Cylindrical Radius of Spherical Ring))/Cylindrical Height of Spherical Ring^2

Surface to Volume Ratio of Spherical Ring given Spherical Radius and Cylindrical Height

Go Surface to Volume Ratio of Spherical Ring = (12*(Spherical Radius of Spherical Ring+sqrt(Spherical Radius of Spherical Ring^2-(Cylindrical Height of Spherical Ring^2)/4)))/(Cylindrical Height of Spherical Ring^2)

Surface to Volume Ratio of Spherical Ring

Go Surface to Volume Ratio of Spherical Ring = (12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))

Surface to Volume Ratio of Spherical Ring given Cylindrical Height

Go Surface to Volume Ratio of Spherical Ring = (12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/(Cylindrical Height of Spherical Ring^2)

Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height Formula

What is Spherical Ring?

A Spherical Ring is basically a ring shape formed from a Sphere. Geometrically it is a sphere with a cylindrical hole which is symmetrically crossing the centre of the Sphere. Most common example is, pearls in a necklace. If we cut the Spherical Ring using a horizontal plane shape forming will be an annulus or circular ring.

How to Calculate Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height?

Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height calculator uses Surface to Volume Ratio of Spherical Ring = (12*(sqrt(Cylindrical Radius of Spherical Ring^2+(Cylindrical Height of Spherical Ring^2)/4)+Cylindrical Radius of Spherical Ring))/Cylindrical Height of Spherical Ring^2 to calculate the Surface to Volume Ratio of Spherical Ring, The Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height formula is defined the numerical ratio of the total surface area of a Spherical Ring to the volume of Spherical Ring, calculated using cylindrical radius and cylindrical height. Surface to Volume Ratio of Spherical Ring is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height, enter Cylindrical Radius of Spherical Ring (r_Cylinder) & Cylindrical Height of Spherical Ring (h_Cylinder) and hit the calculate button. Here is how the Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height calculation can be explained with given input values -> 1.402256 = (12*(sqrt(6^2+(11^2)/4)+6))/11^2.

FAQ

What is Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height?

The Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height formula is defined the numerical ratio of the total surface area of a Spherical Ring to the volume of Spherical Ring, calculated using cylindrical radius and cylindrical height and is represented as R_A/V = (12*(sqrt(r_Cylinder^2+(h_Cylinder^2)/4)+r_Cylinder))/h_Cylinder^2 or Surface to Volume Ratio of Spherical Ring = (12*(sqrt(Cylindrical Radius of Spherical Ring^2+(Cylindrical Height of Spherical Ring^2)/4)+Cylindrical Radius of Spherical Ring))/Cylindrical Height of Spherical Ring^2. The Cylindrical Radius of Spherical Ring is the distance between the centre any point on the circumference of circular faces of the cylindrical hole of the Spherical Ring & The Cylindrical Height of Spherical Ring is the distance between the circular faces of the cylindrical hole of the Spherical Ring.

How to calculate Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height?

The Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height formula is defined the numerical ratio of the total surface area of a Spherical Ring to the volume of Spherical Ring, calculated using cylindrical radius and cylindrical height is calculated using Surface to Volume Ratio of Spherical Ring = (12*(sqrt(Cylindrical Radius of Spherical Ring^2+(Cylindrical Height of Spherical Ring^2)/4)+Cylindrical Radius of Spherical Ring))/Cylindrical Height of Spherical Ring^2. To calculate Surface to Volume Ratio of Spherical Ring given Cylindrical Radius and Cylindrical Height, you need Cylindrical Radius of Spherical Ring (r_Cylinder) & Cylindrical Height of Spherical Ring (h_Cylinder). With our tool, you need to enter the respective value for Cylindrical Radius of Spherical Ring & Cylindrical Height of Spherical Ring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Surface to Volume Ratio of Spherical Ring?

In this formula, Surface to Volume Ratio of Spherical Ring uses Cylindrical Radius of Spherical Ring & Cylindrical Height of Spherical Ring. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Spherical Ring = (12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/(Cylindrical Height of Spherical Ring^2)
Surface to Volume Ratio of Spherical Ring = (12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))
Surface to Volume Ratio of Spherical Ring = (12*(Spherical Radius of Spherical Ring+sqrt(Spherical Radius of Spherical Ring^2-(Cylindrical Height of Spherical Ring^2)/4)))/(Cylindrical Height of Spherical Ring^2)

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