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Total Surface Area of Cylindrical Shell Formula

GoTotal Surface Area of Cylindrical Shell given Wall Thickness and Outer 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 + h)

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

Total Surface Area of Cylindrical Shell Example

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

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

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

854.5132 = 2 \cdot 3.1416 \cdot (10 + 7) \cdot (10 - 7 + 5)

854.5132m² = 2 \cdot 3.1416 \cdot (10m + 7m) \cdot (10m - 7m + 5m)

854.5132 = 2 \cdot 3.1416 \cdot (10 + 7) \cdot (10 - 7 + 5)

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Total Surface Area of Cylindrical Shell Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 2 \cdot π \cdot (10m + 7m) \cdot (10m - 7m + 5m)

Next Step Substitute values of Constants

∴

TSA = 2 \cdot 3.1416 \cdot (10m + 7m) \cdot (10m - 7m + 5m)

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot 3.1416 \cdot (10 + 7) \cdot (10 - 7 + 5)

Next Step Evaluate

∴

TSA = 854.513201776424m²

LAST Step Rounding Answer

∴

TSA = 854.5132m²

Total Surface Area of Cylindrical Shell 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

Height of Cylindrical Shell

Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Wall Thickness and Outer Radius

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

Other formulas in Total Surface Area of Cylindrical Shell category

Go Height of Cylindrical Shell given Lateral Surface Area

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

Go Height of Cylindrical Shell given Volume

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

Go Inner Radius of Cylindrical Shell

r Inner = r Outer - t Wall

Go Inner Radius of Cylindrical Shell given Lateral Surface Area

r Inner = \frac{LSA}{2 \cdot π \cdot h} - r Outer

How to Evaluate Total Surface Area of Cylindrical Shell?

Total Surface Area of Cylindrical Shell 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+Height of Cylindrical Shell) to evaluate the Total Surface Area of Cylindrical Shell, Total Surface Area of Cylindrical Shell formula is defined as the total quantity of plane enclosed on the entire surface of the Cylindrical Shell. Total Surface Area of Cylindrical Shell is denoted by TSA symbol.

How to evaluate Total Surface Area of Cylindrical Shell using this online evaluator? To use this online evaluator for Total Surface Area of Cylindrical Shell, enter Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Height of Cylindrical Shell (h) and hit the calculate button.

FAQs on Total Surface Area of Cylindrical Shell

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

The formula of Total Surface Area of Cylindrical Shell 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+Height of Cylindrical Shell). Here is an example- 854.5132 = 2*pi*(10+7)*(10-7+5).

How to calculate Total Surface Area of Cylindrical Shell?

With Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Height of Cylindrical Shell (h) we can find Total Surface Area of Cylindrical Shell 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+Height 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=2*pi*((2*Outer Radius of Cylindrical Shell)-Wall Thickness of Cylindrical Shell)*(Wall Thickness of Cylindrical Shell+Height of Cylindrical Shell)

Can the Total Surface Area of Cylindrical Shell be negative?

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

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

Total Surface Area of Cylindrical Shell 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 can be measured.

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Total Surface Area of Cylindrical Shell Formula

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

Total Surface Area of Cylindrical Shell Example

Total Surface Area of Cylindrical Shell Solution

Total Surface Area of Cylindrical Shell Formula Elements

Other Formulas to find Total Surface Area of Cylindrical Shell

Other formulas in Total Surface Area of Cylindrical Shell category

How to Evaluate Total Surface Area of Cylindrical Shell?

FAQs on Total Surface Area of Cylindrical Shell

Variable Name

GoTotal Surface Area of Cylindrical Shell given Wall Thickness and Outer Radius Formula