Surface to Volume Ratio of Spherical Ring Calculator

✖The Spherical Radius of Spherical Ring is defined as the distance between the centre and any point on the surface of the sphere from which the Spherical Ring is formed.ⓘ Spherical Radius of Spherical Ring [r_Sphere]			+10% -10%
✖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%

✖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 [R_A/V]

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Surface to Volume Ratio of Spherical Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
R_A/V = (12*(r_Sphere+r_Cylinder))/(4*(r_Sphere^2-r_Cylinder^2))
This formula uses 3 Variables

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.
Spherical Radius of Spherical Ring - (Measured in Meter) - The Spherical Radius of Spherical Ring is defined as the distance between the centre and any point on the surface of the sphere from which the Spherical Ring is formed.
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.

STEP 1: Convert Input(s) to Base Unit

Spherical Radius of Spherical Ring: 8 Meter --> 8 Meter No Conversion Required
Cylindrical Radius of Spherical Ring: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (12*(r_Sphere+r_Cylinder))/(4*(r_Sphere^2-r_Cylinder^2)) --> (12*(8+6))/(4*(8^2-6^2))

Evaluating ... ...

R_A/V = 1.5

STEP 3: Convert Result to Output's Unit

1.5 1 per Meter --> No Conversion Required

FINAL ANSWER

1.5 1 per Meter <-- Surface to Volume Ratio of Spherical Ring

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Surface to Volume Ratio of Spherical Ring Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Formula

LaTeX Go

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?

Surface to Volume Ratio of Spherical Ring calculator uses 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)) to calculate the Surface to Volume Ratio of Spherical Ring, The Surface to Volume Ratio of Spherical Ring formula is defined as the numerical ratio of the total surface area of a Spherical Ring to the volume of Spherical Ring. Surface to Volume Ratio of Spherical Ring is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Spherical Ring using this online calculator? To use this online calculator for Surface to Volume Ratio of Spherical Ring, enter Spherical Radius of Spherical Ring (r_Sphere) & Cylindrical Radius of Spherical Ring (r_Cylinder) and hit the calculate button. Here is how the Surface to Volume Ratio of Spherical Ring calculation can be explained with given input values -> 1.5 = (12*(8+6))/(4*(8^2-6^2)).

FAQ

What is Surface to Volume Ratio of Spherical Ring?

The Surface to Volume Ratio of Spherical Ring formula is defined as the numerical ratio of the total surface area of a Spherical Ring to the volume of Spherical Ring and is represented as R_A/V = (12*(r_Sphere+r_Cylinder))/(4*(r_Sphere^2-r_Cylinder^2)) or 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)). The Spherical Radius of Spherical Ring is defined as the distance between the centre and any point on the surface of the sphere from which the Spherical Ring is formed & 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.

How to calculate Surface to Volume Ratio of Spherical Ring?

The Surface to Volume Ratio of Spherical Ring formula is defined as the numerical ratio of the total surface area of a Spherical Ring to the volume of Spherical Ring is calculated using 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)). To calculate Surface to Volume Ratio of Spherical Ring, you need Spherical Radius of Spherical Ring (r_Sphere) & Cylindrical Radius of Spherical Ring (r_Cylinder). With our tool, you need to enter the respective value for Spherical Radius of Spherical Ring & Cylindrical Radius 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 Spherical Radius of Spherical Ring & Cylindrical Radius 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+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 = (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

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