Inner Radius of Cylindrical Shell given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell
rInner = LSA/(2*pi*h)-rOuter
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Inner Radius of Cylindrical Shell - (Measured in Meter) - Inner Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell.
Lateral Surface Area of Cylindrical Shell - (Measured in Square Meter) - Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell.
Height of Cylindrical Shell - (Measured in Meter) - Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell.
Outer Radius of Cylindrical Shell - (Measured in Meter) - Outer Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the outer cylinder of the Cylindrical Shell.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cylindrical Shell: 530 Square Meter --> 530 Square Meter No Conversion Required
Height of Cylindrical Shell: 5 Meter --> 5 Meter No Conversion Required
Outer Radius of Cylindrical Shell: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rInner = LSA/(2*pi*h)-rOuter --> 530/(2*pi*5)-10
Evaluating ... ...
rInner = 6.8704239677409
STEP 3: Convert Result to Output's Unit
6.8704239677409 Meter --> No Conversion Required
FINAL ANSWER
6.8704239677409 6.870424 Meter <-- Inner Radius of Cylindrical Shell
(Calculation completed in 00.004 seconds)

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2 Inner Radius of Cylindrical Shell Calculators

Inner Radius of Cylindrical Shell given Lateral Surface Area
Go Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell
Inner Radius of Cylindrical Shell
Go Inner Radius of Cylindrical Shell = Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell

14 Important Formulas of Cylindrical Shell Calculators

Total Surface Area of Cylindrical Shell
Go Total Surface Area of Cylindrical Shell = 2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell)
Wall Thickness of Cylindrical Shell given Volume and Inner Radius
Go Wall Thickness of Cylindrical Shell = sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)-Inner Radius of Cylindrical Shell
Total Surface Area of Cylindrical Shell given Wall Thickness and Outer Radius
Go Total Surface Area of Cylindrical Shell = 2*pi*((2*Outer Radius of Cylindrical Shell)-Wall Thickness of Cylindrical Shell)*(Wall Thickness of Cylindrical Shell+Height of Cylindrical Shell)
Volume of Cylindrical Shell given Wall Thickness and Inner Radius
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)
Volume of Cylindrical Shell given Wall Thickness and Outer Radius
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-(Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2)
Height of Cylindrical Shell given Lateral Surface Area
Go Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))
Inner Radius of Cylindrical Shell given Lateral Surface Area
Go Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell
Outer Radius of Cylindrical Shell given Lateral Surface Area
Go Outer Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell
Lateral Surface Area of Cylindrical Shell
Go Lateral Surface Area of Cylindrical Shell = 2*pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)
Height of Cylindrical Shell given Volume
Go Height of Cylindrical Shell = Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))
Volume of Cylindrical Shell
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)
Wall Thickness of Cylindrical Shell
Go Wall Thickness of Cylindrical Shell = Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell
Inner Radius of Cylindrical Shell
Go Inner Radius of Cylindrical Shell = Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell
Outer Radius of Cylindrical Shell
Go Outer Radius of Cylindrical Shell = Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell

Inner Radius of Cylindrical Shell given Lateral Surface Area Formula

Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell
rInner = LSA/(2*pi*h)-rOuter

What is a Cylindrical Shell?

A Cylindrical Shell is simply speaking, the space enclosed by two concentric circular cylinders. That is, if two circular cylinders of same height are kept one inside another, in such a way that their central axis coincide, then the space bounded in between these cylinders along with the annulus surfaces of proper size on the top and bottom together forms the Cylindrical Shell. An annulus in two dimensions is the compression of a Cylindrical Shell into a horizontal plane.

How to Calculate Inner Radius of Cylindrical Shell given Lateral Surface Area?

Inner Radius of Cylindrical Shell given Lateral Surface Area calculator uses Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell to calculate the Inner Radius of Cylindrical Shell, Inner Radius of Cylindrical Shell given Lateral Surface Area formula is defined as the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell, and calculated using the lateral surface area of the Cylindrical Shell. Inner Radius of Cylindrical Shell is denoted by rInner symbol.

How to calculate Inner Radius of Cylindrical Shell given Lateral Surface Area using this online calculator? To use this online calculator for Inner Radius of Cylindrical Shell given Lateral Surface Area, enter Lateral Surface Area of Cylindrical Shell (LSA), Height of Cylindrical Shell (h) & Outer Radius of Cylindrical Shell (rOuter) and hit the calculate button. Here is how the Inner Radius of Cylindrical Shell given Lateral Surface Area calculation can be explained with given input values -> 6.870424 = 530/(2*pi*5)-10.

FAQ

What is Inner Radius of Cylindrical Shell given Lateral Surface Area?
Inner Radius of Cylindrical Shell given Lateral Surface Area formula is defined as the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell, and calculated using the lateral surface area of the Cylindrical Shell and is represented as rInner = LSA/(2*pi*h)-rOuter or Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell. Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell, Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell & Outer Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the outer cylinder of the Cylindrical Shell.
How to calculate Inner Radius of Cylindrical Shell given Lateral Surface Area?
Inner Radius of Cylindrical Shell given Lateral Surface Area formula is defined as the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell, and calculated using the lateral surface area of the Cylindrical Shell is calculated using Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell. To calculate Inner Radius of Cylindrical Shell given Lateral Surface Area, you need Lateral Surface Area of Cylindrical Shell (LSA), Height of Cylindrical Shell (h) & Outer Radius of Cylindrical Shell (rOuter). With our tool, you need to enter the respective value for Lateral Surface Area of Cylindrical Shell, Height of Cylindrical Shell & Outer Radius of Cylindrical Shell 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 Inner Radius of Cylindrical Shell?
In this formula, Inner Radius of Cylindrical Shell uses Lateral Surface Area of Cylindrical Shell, Height of Cylindrical Shell & Outer Radius of Cylindrical Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Inner Radius of Cylindrical Shell = Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell
  • Inner Radius of Cylindrical Shell = Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell
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