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Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume_polyhedron = (pi/6)*((sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))^3)
Vpolyhedron = (pi/6)*((sqrt((12*(Rs+r))/RAV))^3)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radius of Sphere - Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface. (Measured in Meter)
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
Surface to Volume Ratio - Surface to Volume Ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
Radius of Sphere: 12 Meter --> 12 Meter No Conversion Required
Radius: 10 Meter --> 10 Meter No Conversion Required
Surface to Volume Ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vpolyhedron = (pi/6)*((sqrt((12*(Rs+r))/RAV))^3) --> (pi/6)*((sqrt((12*(12+10))/0.5))^3)
Evaluating ... ...
Vpolyhedron = 6352.57068457447
STEP 3: Convert Result to Output's Unit
6352.57068457447 Cubic Meter --> No Conversion Required
FINAL ANSWER
6352.57068457447 Cubic Meter <-- Volume Polyhedron
(Calculation completed in 00.000 seconds)

4 Volume of Spherical Ring Calculators

Volume of Spherical Ring given surface area, cylinder and sphere radius
volume_polyhedron = (pi/6)*((Surface area of Polyhedron/(2*pi*(Radius of Sphere+Radius)))^3) Go
Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius
volume_polyhedron = (pi/6)*((sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))^3) Go
Volume of Spherical Ring given sphere radius and cylinder radius
volume_polyhedron = (pi/6)*((sqrt(4*((Radius of Sphere^2)-(Radius^2))))^3) Go
Volume of Spherical Ring
volume_polyhedron = pi*(Height^3)/6 Go

Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius Formula

volume_polyhedron = (pi/6)*((sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))^3)
Vpolyhedron = (pi/6)*((sqrt((12*(Rs+r))/RAV))^3)

What is Spherical Ring?

A spherical ring is a sphere with a cylindrical drill hole through its center, like a pearl on a necklace or a napkin ring. Its slice plane is Annulus.

How to Calculate Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius?

Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius calculator uses volume_polyhedron = (pi/6)*((sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))^3) to calculate the Volume Polyhedron, The Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius formula is defined as amount of three dimensional space covered by spherical ring. Volume Polyhedron is denoted by Vpolyhedron symbol.

How to calculate Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius using this online calculator? To use this online calculator for Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius, enter Radius of Sphere (Rs), Radius (r) & Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius calculation can be explained with given input values -> 6352.571 = (pi/6)*((sqrt((12*(12+10))/0.5))^3).

FAQ

What is Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius?
The Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius formula is defined as amount of three dimensional space covered by spherical ring and is represented as Vpolyhedron = (pi/6)*((sqrt((12*(Rs+r))/RAV))^3) or volume_polyhedron = (pi/6)*((sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))^3). Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface, Radius is a radial line from the focus to any point of a curve & Surface to Volume Ratio is fraction of surface to volume.
How to calculate Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius?
The Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius formula is defined as amount of three dimensional space covered by spherical ring is calculated using volume_polyhedron = (pi/6)*((sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))^3). To calculate Volume of Spherical Ring given surface to volume ratio, cylinder and sphere radius, you need Radius of Sphere (Rs), Radius (r) & Surface to Volume Ratio (RAV). With our tool, you need to enter the respective value for Radius of Sphere, Radius & Surface to Volume Ratio 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 Polyhedron?
In this formula, Volume Polyhedron uses Radius of Sphere, Radius & Surface to Volume Ratio. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • volume_polyhedron = pi*(Height^3)/6
  • volume_polyhedron = (pi/6)*((sqrt(4*((Radius of Sphere^2)-(Radius^2))))^3)
  • volume_polyhedron = (pi/6)*((Surface area of Polyhedron/(2*pi*(Radius of Sphere+Radius)))^3)
  • volume_polyhedron = (pi/6)*((sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))^3)
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