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Total Surface Area of Cylindrical Shell given Lateral Surface Area Formula

GoTotal Surface Area of Cylindrical Shell given Lateral Surface Area and Outer Radius Formula

GoTotal Surface Area of Cylindrical Shell given Lateral Surface Area and Inner Radius Formula

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Total Surface Area of Cylindrical Shell is the total quantity of plane enclosed on the entire surface of the Cylindrical Shell. Check FAQs

TSA = 2 \cdot π \cdot (r Outer + r Inner) \cdot (r Outer - r Inner + \frac{LSA}{2 \cdot π \cdot (r Outer + r Inner)})

TSA - Total Surface Area of Cylindrical Shell?r_Outer - Outer Radius of Cylindrical Shell?r_Inner - Inner Radius of Cylindrical Shell?LSA - Lateral Surface Area of Cylindrical Shell?π - Archimedes' constant?

Total Surface Area of Cylindrical Shell given Lateral Surface Area Example

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Here is how the Total Surface Area of Cylindrical Shell given Lateral Surface Area equation looks like with Values.

Here is how the Total Surface Area of Cylindrical Shell given Lateral Surface Area equation looks like with Units.

Here is how the Total Surface Area of Cylindrical Shell given Lateral Surface Area equation looks like.

850.4425 = 2 \cdot 3.1416 \cdot (10 + 7) \cdot (10 - 7 + \frac{530}{2 \cdot 3.1416 \cdot (10 + 7)})

850.4425m² = 2 \cdot 3.1416 \cdot (10m + 7m) \cdot (10m - 7m + \frac{530m²}{2 \cdot 3.1416 \cdot (10m + 7m)})

850.4425 = 2 \cdot 3.1416 \cdot (10 + 7) \cdot (10 - 7 + \frac{530}{2 \cdot 3.1416 \cdot (10 + 7)})

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Total Surface Area of Cylindrical Shell given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Total Surface Area of Cylindrical Shell given Lateral Surface Area?

FIRST Step Consider the formula

TSA = 2 \cdot π \cdot (r Outer + r Inner) \cdot (r Outer - r Inner + \frac{LSA}{2 \cdot π \cdot (r Outer + r Inner)})

Next Step Substitute values of Variables

∴

TSA = 2 \cdot π \cdot (10m + 7m) \cdot (10m - 7m + \frac{530m²}{2 \cdot π \cdot (10m + 7m)})

Next Step Substitute values of Constants

∴

TSA = 2 \cdot 3.1416 \cdot (10m + 7m) \cdot (10m - 7m + \frac{530m²}{2 \cdot 3.1416 \cdot (10m + 7m)})

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot 3.1416 \cdot (10 + 7) \cdot (10 - 7 + \frac{530}{2 \cdot 3.1416 \cdot (10 + 7)})

Next Step Evaluate

∴

TSA = 850.442450666159m²

LAST Step Rounding Answer

∴

TSA = 850.4425m²

Total Surface Area of Cylindrical Shell given Lateral Surface Area Formula Elements

Variables

Constants

Total Surface Area of Cylindrical Shell

Total Surface Area of Cylindrical Shell is the total quantity of plane enclosed on the entire surface of the Cylindrical Shell.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Cylindrical Shell

Outer 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.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Cylindrical Shell

Inner Radius of 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.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Cylindrical Shell

Lateral Surface Area 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.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cylindrical Shell

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Total Surface Area of Cylindrical Shell

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

TSA = \frac{LSA}{h} \cdot (r Outer - (\frac{LSA}{2 \cdot π \cdot h} - r Outer) + h)

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

TSA = \frac{LSA}{h} \cdot ((\frac{LSA}{2 \cdot π \cdot h} - r Inner) - r Inner + h)

Go Total Surface Area of Cylindrical Shell

TSA = 2 \cdot π \cdot (r Outer + r Inner) \cdot (r Outer - r Inner + h)

Go Total Surface Area of Cylindrical Shell given Volume

TSA = 2 \cdot π \cdot (r Outer + r Inner) \cdot (r Outer - r Inner + \frac{V}{π \cdot ({r Outer}^{2} - {r Inner}^{2})})

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

Total Surface Area of Cylindrical Shell given Lateral Surface Area evaluator 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 evaluate 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 evaluate Total Surface Area of Cylindrical Shell given Lateral Surface Area using this online evaluator? To use this online evaluator 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.

FAQs on Total Surface Area of Cylindrical Shell given Lateral Surface Area

What is the formula to find Total Surface Area of Cylindrical Shell given Lateral Surface Area?

The formula of Total Surface Area of Cylindrical Shell given Lateral Surface Area is expressed as 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))). Here is an example- 850.4425 = 2*pi*(10+7)*(10-7+530/(2*pi*(10+7))).

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

With Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Lateral Surface Area of Cylindrical Shell (LSA) we can find Total Surface Area of Cylindrical Shell given Lateral Surface Area using the formula - 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))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Surface Area of Cylindrical Shell?

Here are the different ways to Calculate Total Surface Area of Cylindrical Shell-

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)

Can the Total Surface Area of Cylindrical Shell given Lateral Surface Area be negative?

No, the Total Surface Area of Cylindrical Shell given Lateral Surface Area, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Cylindrical Shell given Lateral Surface Area?

Total Surface Area of Cylindrical Shell given Lateral Surface Area is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Cylindrical Shell given Lateral Surface Area can be measured.

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Total Surface Area of Cylindrical Shell given Lateral Surface Area Formula

​GoTotal Surface Area of Cylindrical Shell given Lateral Surface Area and Outer Radius Formula

​GoTotal Surface Area of Cylindrical Shell given Lateral Surface Area and Inner Radius Formula

Total Surface Area of Cylindrical Shell given Lateral Surface Area Example

Total Surface Area of Cylindrical Shell given Lateral Surface Area Solution

Total Surface Area of Cylindrical Shell given Lateral Surface Area Formula Elements

Other Formulas to find Total Surface Area of Cylindrical Shell

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

FAQs on Total Surface Area of Cylindrical Shell given Lateral Surface Area

Variable Name

GoTotal Surface Area of Cylindrical Shell given Lateral Surface Area and Outer Radius Formula

GoTotal Surface Area of Cylindrical Shell given Lateral Surface Area and Inner Radius Formula