Volume of Spherical Ring given Total Surface Area Calculator

✖Total Surface Area of Spherical Ring is the total quantity of two dimensional space enclosed on the entire surface of the Spherical Ring.ⓘ Total Surface Area of Spherical Ring [TSA]			+10% -10%
✖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%

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

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Formula

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Volume of Spherical Ring given Total Surface Area

Formula

`"V" = pi/6*("TSA"/(2*pi*("r"_{"Sphere"}+"r"_{"Cylinder"})))^3`

Example

`"618.7622m³"=pi/6*("930m²"/(2*pi*("8m"+"6m")))^3`

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Volume of Spherical Ring given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
V = pi/6*(TSA/(2*pi*(r_Sphere+r_Cylinder)))^3
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Total Surface Area of Spherical Ring - (Measured in Square Meter) - Total Surface Area of Spherical Ring is the total quantity of two dimensional space enclosed on the entire surface 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

Total Surface Area of Spherical Ring: 930 Square Meter --> 930 Square Meter No Conversion Required
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

V = pi/6*(TSA/(2*pi*(r_Sphere+r_Cylinder)))^3 --> pi/6*(930/(2*pi*(8+6)))^3

Evaluating ... ...

V = 618.762172854409

STEP 3: Convert Result to Output's Unit

618.762172854409 Cubic Meter --> No Conversion Required

FINAL ANSWER

618.762172854409 ≈ 618.7622 Cubic Meter <-- Volume of Spherical Ring

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

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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 Total Surface Area Formula

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
V = pi/6*(TSA/(2*pi*(r_Sphere+r_Cylinder)))^3

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 Total Surface Area?

Volume of Spherical Ring given Total Surface Area calculator uses 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 to calculate the Volume of Spherical Ring, The Volume of Spherical Ring given Total Surface Area formula is defined as the amount of three dimensional space occupied by Spherical Ring, calculated using total surface area. Volume of Spherical Ring is denoted by V symbol.

How to calculate Volume of Spherical Ring given Total Surface Area using this online calculator? To use this online calculator for Volume of Spherical Ring given Total Surface Area, enter Total Surface Area of Spherical Ring (TSA), Spherical Radius of Spherical Ring (r_Sphere) & Cylindrical Radius of Spherical Ring (r_Cylinder) and hit the calculate button. Here is how the Volume of Spherical Ring given Total Surface Area calculation can be explained with given input values -> 618.7622 = pi/6*(930/(2*pi*(8+6)))^3.

FAQ

What is Volume of Spherical Ring given Total Surface Area?

The Volume of Spherical Ring given Total Surface Area formula is defined as the amount of three dimensional space occupied by Spherical Ring, calculated using total surface area and is represented as V = pi/6*(TSA/(2*pi*(r_Sphere+r_Cylinder)))^3 or 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. Total Surface Area of Spherical Ring is the total quantity of two dimensional space enclosed on the entire surface of the Spherical Ring, 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 Volume of Spherical Ring given Total Surface Area?

The Volume of Spherical Ring given Total Surface Area formula is defined as the amount of three dimensional space occupied by Spherical Ring, calculated using total surface area is calculated using 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. To calculate Volume of Spherical Ring given Total Surface Area, you need Total Surface Area of Spherical Ring (TSA), 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 Total Surface Area of Spherical Ring, 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 Volume of Spherical Ring?

In this formula, Volume of Spherical Ring uses Total Surface Area of Spherical Ring, 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 -

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

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