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Height of Cylindrical Shell given Lateral Surface Area Formula

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

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

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

Height of Cylindrical Shell given Lateral Surface Area Example

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

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

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

4.9619 = \frac{530}{2 \cdot 3.1416 \cdot (10 + 7)}

4.9619m = \frac{530m²}{2 \cdot 3.1416 \cdot (10m + 7m)}

4.9619 = \frac{530}{2 \cdot 3.1416 \cdot (10 + 7)}

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Height of Cylindrical Shell given Lateral Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h = 4.96188940227674m

LAST Step Rounding Answer

∴

h = 4.9619m

Height of Cylindrical Shell given Lateral Surface Area Formula Elements

Variables

Constants

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

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

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 to find Height of Cylindrical Shell

Go Height of Cylindrical Shell given Volume

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

Other formulas in Height of Cylindrical Shell category

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

Go Outer Radius of Cylindrical Shell

r Outer = t Wall + r Inner

Go Outer Radius of Cylindrical Shell given Lateral Surface Area

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

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

Height of Cylindrical Shell given Lateral Surface Area evaluator uses Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)) to evaluate the Height of Cylindrical Shell, Height of Cylindrical Shell given Lateral Surface Area formula is defined as the vertical distance from the base circular face to the top most point of the Cylindrical Shell, and calculated using lateral surface area of the Cylindrical Shell. Height of Cylindrical Shell is denoted by h symbol.

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

FAQs on Height of Cylindrical Shell given Lateral Surface Area

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

The formula of Height of Cylindrical Shell given Lateral Surface Area is expressed as Height 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- 4.961889 = 530/(2*pi*(10+7)).

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

With Lateral Surface Area of Cylindrical Shell (LSA), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner) we can find Height of Cylindrical Shell given Lateral Surface Area using the formula - Height 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 Height of Cylindrical Shell?

Here are the different ways to Calculate Height of Cylindrical Shell-

Height of Cylindrical Shell=Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))

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

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

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

Height of Cylindrical Shell given Lateral Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Cylindrical Shell given Lateral Surface Area can be measured.

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Height of Cylindrical Shell given Lateral Surface Area Formula

​GoHeight of Cylindrical Shell given Volume Formula

Height of Cylindrical Shell given Lateral Surface Area Example

Height of Cylindrical Shell given Lateral Surface Area Solution

Height of Cylindrical Shell given Lateral Surface Area Formula Elements

Other Formulas to find Height of Cylindrical Shell

Other formulas in Height of Cylindrical Shell category

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

FAQs on Height of Cylindrical Shell given Lateral Surface Area

Variable Name

GoHeight of Cylindrical Shell given Volume Formula