Spherical Radius of Spherical Ring given Volume Calculator

✖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 [V]			+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 given Volume [r_Sphere]

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Spherical Radius of Spherical Ring given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spherical Radius of Spherical Ring = sqrt(Cylindrical Radius of Spherical Ring^2+(((6*Volume of Spherical Ring)/pi)^(2/3))/4)
r_Sphere = sqrt(r_Cylinder^2+(((6*V)/pi)^(2/3))/4)
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

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

STEP 1: Convert Input(s) to Base Unit

Cylindrical Radius of Spherical Ring: 6 Meter --> 6 Meter No Conversion Required
Volume of Spherical Ring: 620 Cubic Meter --> 620 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Sphere = sqrt(r_Cylinder^2+(((6*V)/pi)^(2/3))/4) --> sqrt(6^2+(((6*620)/pi)^(2/3))/4)

Evaluating ... ...

r_Sphere = 7.9988345168735

STEP 3: Convert Result to Output's Unit

7.9988345168735 Meter --> No Conversion Required

FINAL ANSWER

7.9988345168735 ≈ 7.998835 Meter <-- Spherical Radius of Spherical Ring

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

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< Spherical Radius of Spherical Ring Calculators

Spherical Radius of Spherical Ring given Total Surface Area

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

Spherical Radius of Spherical Ring given Volume

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

Spherical Radius of Spherical Ring

LaTeX Go Spherical Radius of Spherical Ring = sqrt(Cylindrical Radius of Spherical Ring^2+(Cylindrical Height of Spherical Ring^2)/4)

Spherical Radius of Spherical Ring given Volume Formula

LaTeX Go

Spherical Radius of Spherical Ring = sqrt(Cylindrical Radius of Spherical Ring^2+(((6*Volume of Spherical Ring)/pi)^(2/3))/4)
r_Sphere = sqrt(r_Cylinder^2+(((6*V)/pi)^(2/3))/4)

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 Spherical Radius of Spherical Ring given Volume?

Spherical Radius of Spherical Ring given Volume calculator uses Spherical Radius of Spherical Ring = sqrt(Cylindrical Radius of Spherical Ring^2+(((6*Volume of Spherical Ring)/pi)^(2/3))/4) to calculate the Spherical Radius of Spherical Ring, Spherical Radius of Spherical Ring given Volume formula is defined as the distance between the centre and any point on the surface of the sphere from which the Spherical Ring is formed, calculated using volume. Spherical Radius of Spherical Ring is denoted by r_Sphere symbol.

How to calculate Spherical Radius of Spherical Ring given Volume using this online calculator? To use this online calculator for Spherical Radius of Spherical Ring given Volume, enter Cylindrical Radius of Spherical Ring (r_Cylinder) & Volume of Spherical Ring (V) and hit the calculate button. Here is how the Spherical Radius of Spherical Ring given Volume calculation can be explained with given input values -> 7.998835 = sqrt(6^2+(((6*620)/pi)^(2/3))/4).

FAQ

What is Spherical Radius of Spherical Ring given Volume?

Spherical Radius of Spherical Ring given Volume formula is defined as the distance between the centre and any point on the surface of the sphere from which the Spherical Ring is formed, calculated using volume and is represented as r_Sphere = sqrt(r_Cylinder^2+(((6*V)/pi)^(2/3))/4) or Spherical Radius of Spherical Ring = sqrt(Cylindrical Radius of Spherical Ring^2+(((6*Volume of Spherical Ring)/pi)^(2/3))/4). 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 & Volume of Spherical Ring is the amount of three dimensional space occupied by Spherical Ring.

How to calculate Spherical Radius of Spherical Ring given Volume?

Spherical Radius of Spherical Ring given Volume formula is defined as the distance between the centre and any point on the surface of the sphere from which the Spherical Ring is formed, calculated using volume is calculated using Spherical Radius of Spherical Ring = sqrt(Cylindrical Radius of Spherical Ring^2+(((6*Volume of Spherical Ring)/pi)^(2/3))/4). To calculate Spherical Radius of Spherical Ring given Volume, you need Cylindrical Radius of Spherical Ring (r_Cylinder) & Volume of Spherical Ring (V). With our tool, you need to enter the respective value for Cylindrical Radius of Spherical Ring & Volume 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 Spherical Radius of Spherical Ring?

In this formula, Spherical Radius of Spherical Ring uses Cylindrical Radius of Spherical Ring & Volume of Spherical Ring. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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