Volume of Spherical Ring given Surface to Volume Ratio 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]			+10% -10%

✖Volume of Spherical Ring is the amount of three dimensional space occupied by Spherical Ring.ⓘ Volume of Spherical Ring given Surface to Volume Ratio [V]

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Formula

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Volume of Spherical Ring given Surface to Volume Ratio

Formula

`"V" = pi/6*(sqrt((12*("r"_{"Sphere"}+"r"_{"Cylinder"}))/"R"_{"A/V"}))^3`

Example

`"620.6198m³"=pi/6*(sqrt((12*("8m"+"6m"))/"1.5m⁻¹"))^3`

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Volume of Spherical Ring given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Spherical Ring = pi/6*(sqrt((12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/Surface to Volume Ratio of Spherical Ring))^3
V = pi/6*(sqrt((12*(r_Sphere+r_Cylinder))/R_A/V))^3
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Volume of Spherical Ring - (Measured in Cubic Meter) - Volume of Spherical Ring is the amount of three dimensional space occupied by 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.
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.

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
Surface to Volume Ratio of Spherical Ring: 1.5 1 per Meter --> 1.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = pi/6*(sqrt((12*(r_Sphere+r_Cylinder))/R_A/V))^3 --> pi/6*(sqrt((12*(8+6))/1.5))^3

Evaluating ... ...

V = 620.619841860934

STEP 3: Convert Result to Output's Unit

620.619841860934 Cubic Meter --> No Conversion Required

FINAL ANSWER

620.619841860934 ≈ 620.6198 Cubic Meter <-- Volume of Spherical Ring

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 4 Volume of Spherical Ring Calculators

Volume of Spherical Ring given Surface to Volume Ratio

Go Volume of Spherical Ring = pi/6*(sqrt((12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/Surface to Volume Ratio of Spherical Ring))^3

Volume of Spherical Ring given Total Surface Area

Go Volume of Spherical Ring = pi/6*(Total Surface Area of Spherical Ring/(2*pi*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)))^3

Volume of Spherical Ring given Spherical Radius and Cylindrical Radius

Go Volume of Spherical Ring = pi/6*(sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2)))^3

Volume of Spherical Ring

Go Volume of Spherical Ring = (pi*Cylindrical Height of Spherical Ring^3)/6

Volume of Spherical Ring given Surface to Volume Ratio 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 Volume of Spherical Ring given Surface to Volume Ratio?

Volume of Spherical Ring given Surface to Volume Ratio calculator uses Volume of Spherical Ring = pi/6*(sqrt((12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/Surface to Volume Ratio of Spherical Ring))^3 to calculate the Volume of Spherical Ring, The Volume of Spherical Ring given Surface to Volume Ratio formula is defined as the amount of three dimensional space occupied by Spherical Ring, calculated using surface to volume ratio. Volume of Spherical Ring is denoted by V symbol.

How to calculate Volume of Spherical Ring given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Spherical Ring given Surface to Volume Ratio, enter Spherical Radius of Spherical Ring (r_Sphere), Cylindrical Radius of Spherical Ring (r_Cylinder) & Surface to Volume Ratio of Spherical Ring (R_A/V) and hit the calculate button. Here is how the Volume of Spherical Ring given Surface to Volume Ratio calculation can be explained with given input values -> 620.6198 = pi/6*(sqrt((12*(8+6))/1.5))^3.

FAQ

What is Volume of Spherical Ring given Surface to Volume Ratio?

The Volume of Spherical Ring given Surface to Volume Ratio formula is defined as the amount of three dimensional space occupied by Spherical Ring, calculated using surface to volume ratio and is represented as V = pi/6*(sqrt((12*(r_Sphere+r_Cylinder))/R_A/V))^3 or Volume of Spherical Ring = pi/6*(sqrt((12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/Surface to Volume Ratio of Spherical Ring))^3. 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 & 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.

How to calculate Volume of Spherical Ring given Surface to Volume Ratio?

The Volume of Spherical Ring given Surface to Volume Ratio formula is defined as the amount of three dimensional space occupied by Spherical Ring, calculated using surface to volume ratio is calculated using Volume of Spherical Ring = pi/6*(sqrt((12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/Surface to Volume Ratio of Spherical Ring))^3. To calculate Volume of Spherical Ring given Surface to Volume Ratio, you need Spherical Radius of Spherical Ring (r_Sphere), Cylindrical Radius of Spherical Ring (r_Cylinder) & Surface to Volume Ratio of Spherical Ring (R_A/V). With our tool, you need to enter the respective value for Spherical Radius of Spherical Ring, Cylindrical Radius of Spherical Ring & Surface to Volume Ratio 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 Volume of Spherical Ring?

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

Volume of Spherical Ring = (pi*Cylindrical Height of Spherical Ring^3)/6
Volume of Spherical Ring = pi/6*(sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2)))^3
Volume of Spherical Ring = pi/6*(Total Surface Area of Spherical Ring/(2*pi*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)))^3

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