Cylindrical Height 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%

✖The Cylindrical Height of Spherical Ring is the distance between the circular faces of the cylindrical hole of the Spherical Ring.ⓘ Cylindrical Height of Spherical Ring [h_Cylinder]

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Cylindrical Height of Spherical Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cylindrical Height of Spherical Ring = sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))
h_Cylinder = sqrt(4*(r_Sphere^2-r_Cylinder^2))
This formula uses 1 Functions, 3 Variables

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

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

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

h_Cylinder = sqrt(4*(r_Sphere^2-r_Cylinder^2)) --> sqrt(4*(8^2-6^2))

Evaluating ... ...

h_Cylinder = 10.5830052442584

STEP 3: Convert Result to Output's Unit

10.5830052442584 Meter --> No Conversion Required

FINAL ANSWER

10.5830052442584 ≈ 10.58301 Meter <-- Cylindrical Height of Spherical Ring

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Cylindrical Height of Spherical Ring Calculators

Cylindrical Height of Spherical Ring given Surface to Volume Ratio

LaTeX Go Cylindrical Height of Spherical Ring = sqrt((12*(Spherical Radius of Spherical Ring+Cylindrical Radius of Spherical Ring))/Surface to Volume Ratio of Spherical Ring)

Cylindrical Height of Spherical Ring given Total Surface Area

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

Cylindrical Height of Spherical Ring

LaTeX Go Cylindrical Height of Spherical Ring = sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))

Cylindrical Height of Spherical Ring given Volume

LaTeX Go Cylindrical Height of Spherical Ring = ((6*Volume of Spherical Ring)/pi)^(1/3)

Cylindrical Height of Spherical Ring Formula

LaTeX Go

Cylindrical Height of Spherical Ring = sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2))
h_Cylinder = sqrt(4*(r_Sphere^2-r_Cylinder^2))

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 Cylindrical Height of Spherical Ring?

Cylindrical Height of Spherical Ring calculator uses Cylindrical Height of Spherical Ring = sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2)) to calculate the Cylindrical Height of Spherical Ring, The Cylindrical Height of Spherical Ring formula is defined as the vertical distance between the circular faces of the cylindrical hole of the Spherical Ring. Cylindrical Height of Spherical Ring is denoted by h_Cylinder symbol.

How to calculate Cylindrical Height of Spherical Ring using this online calculator? To use this online calculator for Cylindrical Height 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 Cylindrical Height of Spherical Ring calculation can be explained with given input values -> 10.58301 = sqrt(4*(8^2-6^2)).

FAQ

What is Cylindrical Height of Spherical Ring?

The Cylindrical Height of Spherical Ring formula is defined as the vertical distance between the circular faces of the cylindrical hole of the Spherical Ring and is represented as h_Cylinder = sqrt(4*(r_Sphere^2-r_Cylinder^2)) or Cylindrical Height of Spherical Ring = sqrt(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 Cylindrical Height of Spherical Ring?

The Cylindrical Height of Spherical Ring formula is defined as the vertical distance between the circular faces of the cylindrical hole of the Spherical Ring is calculated using Cylindrical Height of Spherical Ring = sqrt(4*(Spherical Radius of Spherical Ring^2-Cylindrical Radius of Spherical Ring^2)). To calculate Cylindrical Height 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 Cylindrical Height of Spherical Ring?

In this formula, Cylindrical Height 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 -

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

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