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Height of Cylindrical Shell given Volume Formula

GoHeight 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{V}{π \cdot ({r Outer}^{2} - {r Inner}^{2})}

h - Height of Cylindrical Shell?V - Volume 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 Volume Example

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Here is how the Height of Cylindrical Shell given Volume equation looks like with Values.

Here is how the Height of Cylindrical Shell given Volume equation looks like with Units.

Here is how the Height of Cylindrical Shell given Volume equation looks like.

4.9931 = \frac{800}{3.1416 \cdot (10^{2} - 7^{2})}

4.9931m = \frac{800m³}{3.1416 \cdot ({10m}^{2} - {7m}^{2})}

4.9931 = \frac{800}{3.1416 \cdot (10^{2} - 7^{2})}

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Height of Cylindrical Shell given Volume Solution

Follow our step by step solution on how to calculate Height of Cylindrical Shell given Volume?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{800m³}{π \cdot ({10m}^{2} - {7m}^{2})}

Next Step Substitute values of Constants

∴

h = \frac{800m³}{3.1416 \cdot ({10m}^{2} - {7m}^{2})}

Next Step Prepare to Evaluate

∴

h = \frac{800}{3.1416 \cdot (10^{2} - 7^{2})}

Next Step Evaluate

∴

h = 4.99309625386338m

LAST Step Rounding Answer

∴

h = 4.9931m

Height of Cylindrical Shell given Volume 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

Volume of Cylindrical Shell

Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Lateral Surface Area

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

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 Volume?

Height of Cylindrical Shell given Volume evaluator uses Height of Cylindrical Shell = Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)) to evaluate the Height of Cylindrical Shell, Height of Cylindrical Shell given Volume formula is defined as the vertical distance from the base circular face to the top most point of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell. Height of Cylindrical Shell is denoted by h symbol.

How to evaluate Height of Cylindrical Shell given Volume using this online evaluator? To use this online evaluator for Height of Cylindrical Shell given Volume, enter Volume of Cylindrical Shell (V), 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 Volume

What is the formula to find Height of Cylindrical Shell given Volume?

The formula of Height of Cylindrical Shell given Volume is expressed as Height of Cylindrical Shell = Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). Here is an example- 4.993096 = 800/(pi*(10^2-7^2)).

How to calculate Height of Cylindrical Shell given Volume?

With Volume of Cylindrical Shell (V), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner) we can find Height of Cylindrical Shell given Volume using the formula - Height of Cylindrical Shell = Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). 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=Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))

Can the Height of Cylindrical Shell given Volume be negative?

No, the Height of Cylindrical Shell given Volume, measured in Length cannot be negative.

Which unit is used to measure Height of Cylindrical Shell given Volume?

Height of Cylindrical Shell given Volume 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 Volume can be measured.

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Height of Cylindrical Shell given Volume Formula

​GoHeight of Cylindrical Shell given Lateral Surface Area Formula

Height of Cylindrical Shell given Volume Example

Height of Cylindrical Shell given Volume Solution

Height of Cylindrical Shell given Volume 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 Volume?

FAQs on Height of Cylindrical Shell given Volume

Variable Name

GoHeight of Cylindrical Shell given Lateral Surface Area Formula