Total Surface Area of Cylindrical Shell given Lateral Surface Area Calculator

✖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.ⓘ Outer Radius of Cylindrical Shell [r_Outer]			+10% -10%
✖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.ⓘ Inner Radius of Cylindrical Shell [r_Inner]			+10% -10%
✖Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell.ⓘ Lateral Surface Area of Cylindrical Shell [LSA]			+10% -10%

✖Total Surface Area of Cylindrical Shell is the total quantity of plane enclosed on the entire surface of the Cylindrical Shell.ⓘ Total Surface Area of Cylindrical Shell given Lateral Surface Area [TSA]

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Total Surface Area of Cylindrical Shell given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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+Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)))
TSA = 2*pi*(r_Outer+r_Inner)*(r_Outer-r_Inner+LSA/(2*pi*(r_Outer+r_Inner)))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Surface Area of Cylindrical Shell - (Measured in Square Meter) - Total Surface Area of Cylindrical Shell is the total quantity of plane enclosed on the entire surface 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.
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.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Cylindrical Shell: 10 Meter --> 10 Meter No Conversion Required
Inner Radius of Cylindrical Shell: 7 Meter --> 7 Meter No Conversion Required
Lateral Surface Area of Cylindrical Shell: 530 Square Meter --> 530 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*pi*(r_Outer+r_Inner)*(r_Outer-r_Inner+LSA/(2*pi*(r_Outer+r_Inner))) --> 2*pi*(10+7)*(10-7+530/(2*pi*(10+7)))

Evaluating ... ...

TSA = 850.442450666159

STEP 3: Convert Result to Output's Unit

850.442450666159 Square Meter --> No Conversion Required

FINAL ANSWER

850.442450666159 ≈ 850.4425 Square Meter <-- Total Surface Area of Cylindrical Shell

(Calculation completed in 00.022 seconds)

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< Total Surface Area of Cylindrical Shell Calculators

Total Surface Area of Cylindrical Shell given Lateral Surface Area

LaTeX 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+Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)))

Total Surface Area of Cylindrical Shell given Lateral Surface Area and Outer Radius

LaTeX Go Total Surface Area of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell-(Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell)+Height of Cylindrical Shell)

Total Surface Area of Cylindrical Shell given Lateral Surface Area and Inner Radius

LaTeX Go Total Surface Area of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell)

Total Surface Area of Cylindrical Shell

Total Surface Area of Cylindrical Shell given Lateral Surface Area Formula

LaTeX Go

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 Total Surface Area of Cylindrical Shell given Lateral Surface Area?

Total Surface Area of Cylindrical Shell given Lateral Surface Area calculator uses 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+Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))) to calculate the Total Surface Area of Cylindrical Shell, Total Surface Area of Cylindrical Shell given Lateral Surface Area formula is defined as the total quantity of plane enclosed on the entire surface of the Cylindrical Shell, and calculated using the lateral surface area of the Cylindrical Shell. Total Surface Area of Cylindrical Shell is denoted by TSA symbol.

How to calculate Total Surface Area of Cylindrical Shell given Lateral Surface Area using this online calculator? To use this online calculator for Total Surface Area of Cylindrical Shell given Lateral Surface Area, enter Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Lateral Surface Area of Cylindrical Shell (LSA) and hit the calculate button. Here is how the Total Surface Area of Cylindrical Shell given Lateral Surface Area calculation can be explained with given input values -> 850.4425 = 2*pi*(10+7)*(10-7+530/(2*pi*(10+7))).

FAQ

What is Total Surface Area of Cylindrical Shell given Lateral Surface Area?

Total Surface Area of Cylindrical Shell given Lateral Surface Area formula is defined as the total quantity of plane enclosed on the entire surface of the Cylindrical Shell, and calculated using the lateral surface area of the Cylindrical Shell and is represented as TSA = 2*pi*(r_Outer+r_Inner)*(r_Outer-r_Inner+LSA/(2*pi*(r_Outer+r_Inner))) or 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+Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of 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, 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 is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell.

How to calculate Total Surface Area of Cylindrical Shell given Lateral Surface Area?

Total Surface Area of Cylindrical Shell given Lateral Surface Area formula is defined as the total quantity of plane enclosed on the entire surface of the Cylindrical Shell, and calculated using the lateral surface area of the Cylindrical Shell is calculated using 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+Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))). To calculate Total Surface Area of Cylindrical Shell given Lateral Surface Area, you need Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Lateral Surface Area of Cylindrical Shell (LSA). With our tool, you need to enter the respective value for Outer Radius of Cylindrical Shell, Inner Radius of Cylindrical Shell & Lateral Surface Area 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 Total Surface Area of Cylindrical Shell?

In this formula, Total Surface Area of Cylindrical Shell uses Outer Radius of Cylindrical Shell, Inner Radius of Cylindrical Shell & Lateral Surface Area of Cylindrical Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell-(Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell)+Height of Cylindrical Shell)
Total Surface Area of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell)
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)

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