Total Surface Area 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%

✖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]

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Total Surface Area of Spherical Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Spherical Ring = 2*pi*sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)
TSA = 2*pi*sqrt(4*(r_Sphere^2-r_Cylinder^2))*(r_Sphere+r_Cylinder)
This formula uses 1 Constants, 1 Functions, 3 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

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

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

TSA = 2*pi*sqrt(4*(r_Sphere^2-r_Cylinder^2))*(r_Sphere+r_Cylinder) --> 2*pi*sqrt(4*(8^2-6^2))*(8+6)

Evaluating ... ...

TSA = 930.929762791401

STEP 3: Convert Result to Output's Unit

930.929762791401 Square Meter --> No Conversion Required

FINAL ANSWER

930.929762791401 ≈ 930.9298 Square Meter <-- Total Surface Area 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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St Joseph's College (SJC), Bengaluru

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< Total Surface Area of Spherical Ring Calculators

Total Surface Area of Spherical Ring given Surface to Volume Ratio

LaTeX Go Total Surface Area of Spherical Ring = 2*pi*sqrt((12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/Surface to Volume Ratio of Spherical Ring)*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)

Total Surface Area of Spherical Ring

LaTeX Go Total Surface Area of Spherical Ring = 2*pi*sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)

Total Surface Area of Spherical Ring given Volume

LaTeX Go Total Surface Area of Spherical Ring = 2*pi*((6*Volume of Spherical Ring)/pi)^(1/3)*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)

Total Surface Area of Spherical Ring given Cylindrical Height

LaTeX Go Total Surface Area of Spherical Ring = 2*pi*Cylindrical Height of Spherical Ring*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)

Total Surface Area 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 Total Surface Area of Spherical Ring?

Total Surface Area of Spherical Ring calculator uses Total Surface Area of Spherical Ring = 2*pi*sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring) to calculate the Total Surface Area of Spherical Ring, The Total Surface Area of Spherical Ring formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Ring. Total Surface Area of Spherical Ring is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Ring using this online calculator? To use this online calculator for Total Surface Area 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 Total Surface Area of Spherical Ring calculation can be explained with given input values -> 930.9298 = 2*pi*sqrt(4*(8^2-6^2))*(8+6).

FAQ

What is Total Surface Area of Spherical Ring?

The Total Surface Area of Spherical Ring formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Ring and is represented as TSA = 2*pi*sqrt(4*(r_Sphere^2-r_Cylinder^2))*(r_Sphere+r_Cylinder) or Total Surface Area of Spherical Ring = 2*pi*sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))*(Spherical Radius of Spherical Ring+Cylindrical Radius of 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 Total Surface Area of Spherical Ring?

The Total Surface Area of Spherical Ring formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Ring is calculated using Total Surface Area of Spherical Ring = 2*pi*sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring). To calculate Total Surface Area 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 Total Surface Area of Spherical Ring?

In this formula, Total Surface Area 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 -

Total Surface Area of Spherical Ring = 2*pi*Cylindrical Height of Spherical Ring*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)
Total Surface Area of Spherical Ring = 2*pi*((6*Volume of Spherical Ring)/pi)^(1/3)*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)
Total Surface Area of Spherical Ring = 2*pi*sqrt((12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/Surface to Volume Ratio of Spherical Ring)*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)

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