Total Surface Area of Spherical Ring given Cylindrical Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Spherical Ring = 2*pi*Cylindrical Height of Spherical Ring*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)
TSA = 2*pi*hCylinder*(rSphere+rCylinder)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
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.
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
Cylindrical Height of Spherical Ring: 11 Meter --> 11 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
TSA = 2*pi*hCylinder*(rSphere+rCylinder) --> 2*pi*11*(8+6)
Evaluating ... ...
TSA = 967.610537305656
STEP 3: Convert Result to Output's Unit
967.610537305656 Square Meter --> No Conversion Required
FINAL ANSWER
967.610537305656 967.6105 Square Meter <-- Total Surface Area of Spherical Ring
(Calculation completed in 00.004 seconds)

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4 Total Surface Area of Spherical Ring Calculators

Total Surface Area of Spherical Ring given Surface to Volume Ratio
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
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
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
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 given Cylindrical Height Formula

Total Surface Area of Spherical Ring = 2*pi*Cylindrical Height of Spherical Ring*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring)
TSA = 2*pi*hCylinder*(rSphere+rCylinder)

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 given Cylindrical Height?

Total Surface Area of Spherical Ring given Cylindrical Height calculator uses Total Surface Area of Spherical Ring = 2*pi*Cylindrical Height of Spherical Ring*(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 given Cylindrical Height formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Ring, calculated using cylindrical height. Total Surface Area of Spherical Ring is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Ring given Cylindrical Height using this online calculator? To use this online calculator for Total Surface Area of Spherical Ring given Cylindrical Height, enter Cylindrical Height of Spherical Ring (hCylinder), Spherical Radius of Spherical Ring (rSphere) & Cylindrical Radius of Spherical Ring (rCylinder) and hit the calculate button. Here is how the Total Surface Area of Spherical Ring given Cylindrical Height calculation can be explained with given input values -> 967.6105 = 2*pi*11*(8+6).

FAQ

What is Total Surface Area of Spherical Ring given Cylindrical Height?
The Total Surface Area of Spherical Ring given Cylindrical Height formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Ring, calculated using cylindrical height and is represented as TSA = 2*pi*hCylinder*(rSphere+rCylinder) or Total Surface Area of Spherical Ring = 2*pi*Cylindrical Height of Spherical Ring*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring). The Cylindrical Height of Spherical Ring is the distance between the circular faces of the cylindrical hole 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 Total Surface Area of Spherical Ring given Cylindrical Height?
The Total Surface Area of Spherical Ring given Cylindrical Height formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Ring, calculated using cylindrical height is calculated using Total Surface Area of Spherical Ring = 2*pi*Cylindrical Height of Spherical Ring*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring). To calculate Total Surface Area of Spherical Ring given Cylindrical Height, you need Cylindrical Height of Spherical Ring (hCylinder), Spherical Radius of Spherical Ring (rSphere) & Cylindrical Radius of Spherical Ring (rCylinder). With our tool, you need to enter the respective value for Cylindrical Height 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 Total Surface Area of Spherical Ring?
In this formula, Total Surface Area of Spherical Ring uses Cylindrical Height 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 -
  • 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 = 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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