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Lateral Surface Area of Cylindrical Shell Formula

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Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell. Check FAQs

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

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

Lateral Surface Area of Cylindrical Shell Example

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

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

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

534.0708 = 2 \cdot 3.1416 \cdot 5 \cdot (10 + 7)

534.0708m² = 2 \cdot 3.1416 \cdot 5m \cdot (10m + 7m)

534.0708 = 2 \cdot 3.1416 \cdot 5 \cdot (10 + 7)

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Lateral Surface Area of Cylindrical Shell Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

LSA = 2 \cdot 3.1416 \cdot 5 \cdot (10 + 7)

Next Step Evaluate

∴

LSA = 534.070751110265m²

LAST Step Rounding Answer

∴

LSA = 534.0708m²

Lateral Surface Area of Cylindrical Shell Formula Elements

Variables

Constants

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

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

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

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 in Lateral 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 Lateral Surface Area of Cylindrical Shell?

Lateral Surface Area of Cylindrical Shell evaluator uses Lateral Surface Area of Cylindrical Shell = 2*pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell) to evaluate the Lateral Surface Area of Cylindrical Shell, Lateral Surface Area of Cylindrical Shell formula is defined as the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell. Lateral Surface Area of Cylindrical Shell is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cylindrical Shell

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

The formula of Lateral Surface Area of Cylindrical Shell is expressed as Lateral Surface Area of Cylindrical Shell = 2*pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell). Here is an example- 534.0708 = 2*pi*5*(10+7).

How to calculate Lateral Surface Area of Cylindrical Shell?

With Height of Cylindrical Shell (h), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner) we can find Lateral Surface Area of Cylindrical Shell using the formula - Lateral Surface Area of Cylindrical Shell = 2*pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell). This formula also uses Archimedes' constant .

Can the Lateral Surface Area of Cylindrical Shell be negative?

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

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

Lateral 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 Lateral Surface Area of Cylindrical Shell can be measured.

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Lateral Surface Area of Cylindrical Shell Formula

Lateral Surface Area of Cylindrical Shell Example

Lateral Surface Area of Cylindrical Shell Solution

Lateral Surface Area of Cylindrical Shell Formula Elements

Other formulas in Lateral Surface Area of Cylindrical Shell category

How to Evaluate Lateral Surface Area of Cylindrical Shell?

FAQs on Lateral Surface Area of Cylindrical Shell

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