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

STEP 0: Pre-Calculation Summary
Formula Used
surface_area_of_polyhedron = 2*pi*(sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))*(Radius of Sphere+Radius)
SAPolyhedron = 2*pi*(sqrt((12*(Rs+r))/RAV))*(Rs+r)
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
SAPolyhedron = 2*pi*(sqrt((12*(Rs+r))/RAV))*(Rs+r) --> 2*pi*(sqrt((12*(12+10))/0.5))*(12+10)
Evaluating ... ...
SAPolyhedron = 3176.28534228724
STEP 3: Convert Result to Output's Unit
3176.28534228724 Square Meter --> No Conversion Required
FINAL ANSWER
3176.28534228724 Square Meter <-- Surface area of Polyhedron
(Calculation completed in 00.016 seconds)

4 Surface area of Spherical Ring Calculators

Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius
surface_area_of_polyhedron = 2*pi*(sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))*(Radius of Sphere+Radius) Go
Surface area of Spherical Ring missing cylinder height
surface_area_of_polyhedron = 2*pi*sqrt(4*((Radius of Sphere^2)-(Radius^2)))*(Radius of Sphere+Radius) Go
Surface area of Spherical Ring given volume, sphere and cylinder radius
surface_area_of_polyhedron = 2*pi*(((6*Volume Polyhedron)/pi)^(1/3))*(Radius of Sphere+Radius) Go
Surface area of Spherical Ring
surface_area_of_polyhedron = 2*pi*Height*(Radius of Sphere+Radius) Go

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

surface_area_of_polyhedron = 2*pi*(sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))*(Radius of Sphere+Radius)
SAPolyhedron = 2*pi*(sqrt((12*(Rs+r))/RAV))*(Rs+r)

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 Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius?

Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius calculator uses surface_area_of_polyhedron = 2*pi*(sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))*(Radius of Sphere+Radius) to calculate the Surface area of Polyhedron, The Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius formula is defined as the area of an outer part or uppermost layer of spherical ring. Surface area of Polyhedron is denoted by SAPolyhedron symbol.

How to calculate Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius using this online calculator? To use this online calculator for Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius, enter Radius of Sphere (Rs), Radius (r) & Surface to Volume Ratio (RAV) and hit the calculate button. Here is how the Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius calculation can be explained with given input values -> 3176.285 = 2*pi*(sqrt((12*(12+10))/0.5))*(12+10).

FAQ

What is Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius?
The Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius formula is defined as the area of an outer part or uppermost layer of spherical ring and is represented as SAPolyhedron = 2*pi*(sqrt((12*(Rs+r))/RAV))*(Rs+r) or surface_area_of_polyhedron = 2*pi*(sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))*(Radius of Sphere+Radius). 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 Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius?
The Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder radius formula is defined as the area of an outer part or uppermost layer of spherical ring is calculated using surface_area_of_polyhedron = 2*pi*(sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))*(Radius of Sphere+Radius). To calculate Surface area of Spherical Ring given surface to volume ratio, sphere and cylinder 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 Surface area of Polyhedron?
In this formula, Surface area of 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 -
  • surface_area_of_polyhedron = 2*pi*Height*(Radius of Sphere+Radius)
  • surface_area_of_polyhedron = 2*pi*sqrt(4*((Radius of Sphere^2)-(Radius^2)))*(Radius of Sphere+Radius)
  • surface_area_of_polyhedron = 2*pi*(((6*Volume Polyhedron)/pi)^(1/3))*(Radius of Sphere+Radius)
  • surface_area_of_polyhedron = 2*pi*(sqrt((12*(Radius of Sphere+Radius))/Surface to Volume Ratio))*(Radius of Sphere+Radius)
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