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Surface to Volume Ratio of Cylindrical Shell given Volume Formula

GoSurface to Volume Ratio of Cylindrical Shell Formula

GoSurface to Volume Ratio of Cylindrical Shell given Wall Thickness and Outer Radius Formula

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Surface to Volume Ratio of Cylindrical Shell is the numerical ratio of the total surface area of a Cylindrical Shell to the volume of the Cylindrical Shell. Check FAQs

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

R_A/V - Surface to Volume Ratio of Cylindrical Shell?r_Outer - Outer Radius of Cylindrical Shell?r_Inner - Inner Radius of Cylindrical Shell?V - Volume of Cylindrical Shell?π - Archimedes' constant?

Surface to Volume Ratio of Cylindrical Shell given Volume Example

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Here is how the Surface to Volume Ratio of Cylindrical Shell given Volume equation looks like with Values.

Here is how the Surface to Volume Ratio of Cylindrical Shell given Volume equation looks like with Units.

Here is how the Surface to Volume Ratio of Cylindrical Shell given Volume equation looks like.

1.0672 = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + \frac{800}{3.1416 \cdot (10^{2} - 7^{2})})}{\frac{800}{3.1416 \cdot (10^{2} - 7^{2})} \cdot (10^{2} - 7^{2})}

1.0672m⁻¹ = \frac{2 \cdot (10m + 7m) \cdot (10m - 7m + \frac{800m³}{3.1416 \cdot ({10m}^{2} - {7m}^{2})})}{\frac{800m³}{3.1416 \cdot ({10m}^{2} - {7m}^{2})} \cdot ({10m}^{2} - {7m}^{2})}

1.0672 = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + \frac{800}{3.1416 \cdot (10^{2} - 7^{2})})}{\frac{800}{3.1416 \cdot (10^{2} - 7^{2})} \cdot (10^{2} - 7^{2})}

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Surface to Volume Ratio of Cylindrical Shell given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot (10m + 7m) \cdot (10m - 7m + \frac{800m³}{π \cdot ({10m}^{2} - {7m}^{2})})}{\frac{800m³}{π \cdot ({10m}^{2} - {7m}^{2})} \cdot ({10m}^{2} - {7m}^{2})}

Next Step Substitute values of Constants

∴

R A/V = \frac{2 \cdot (10m + 7m) \cdot (10m - 7m + \frac{800m³}{3.1416 \cdot ({10m}^{2} - {7m}^{2})})}{\frac{800m³}{3.1416 \cdot ({10m}^{2} - {7m}^{2})} \cdot ({10m}^{2} - {7m}^{2})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + \frac{800}{3.1416 \cdot (10^{2} - 7^{2})})}{\frac{800}{3.1416 \cdot (10^{2} - 7^{2})} \cdot (10^{2} - 7^{2})}

Next Step Evaluate

∴

R A/V = 1.06721972999937m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.0672m⁻¹

Surface to Volume Ratio of Cylindrical Shell given Volume Formula Elements

Variables

Constants

Surface to Volume Ratio of Cylindrical Shell

Surface to Volume Ratio of Cylindrical Shell is the numerical ratio of the total surface area of a Cylindrical Shell to the volume of the Cylindrical Shell.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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

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

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 Surface to Volume Ratio of Cylindrical Shell

Go Surface to Volume Ratio of Cylindrical Shell

R A/V = \frac{2 \cdot (r Outer + r Inner) \cdot (r Outer - r Inner + h)}{h \cdot ({r Outer}^{2} - {r Inner}^{2})}

Go Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Outer Radius

R A/V = \frac{2 \cdot ((t Wall + r Outer) + r Outer) \cdot ((t Wall + r Outer) - r Outer + h)}{h \cdot ({(t Wall + r Outer)}^{2} - {r Outer}^{2})}

Go Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius

R A/V = \frac{2 \cdot (r Inner + (r Inner - t Wall)) \cdot (r Inner - (r Inner - t Wall) + h)}{h \cdot ({r Inner}^{2} - {(r Inner - t Wall)}^{2})}

Go Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area and Inner Radius

R A/V = \frac{\frac{LSA}{π \cdot h} \cdot ((\frac{LSA}{2 \cdot π \cdot h} - r Inner) - r Inner + h)}{h \cdot ({(\frac{LSA}{2 \cdot π \cdot h} - r Inner)}^{2} - {r Inner}^{2})}

How to Evaluate Surface to Volume Ratio of Cylindrical Shell given Volume?

Surface to Volume Ratio of Cylindrical Shell given Volume evaluator uses Surface to Volume Ratio of Cylindrical Shell = (2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))))/(Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)) to evaluate the Surface to Volume Ratio of Cylindrical Shell, Surface to Volume Ratio of Cylindrical Shell given Volume formula is defined as the numerical ratio of the total surface area of Cylindrical Shell to the volume of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell. Surface to Volume Ratio of Cylindrical Shell is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Cylindrical Shell given Volume

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

The formula of Surface to Volume Ratio of Cylindrical Shell given Volume is expressed as Surface to Volume Ratio of Cylindrical Shell = (2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))))/(Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). Here is an example- 1.06722 = (2*(10+7)*(10-7+800/(pi*(10^2-7^2))))/(800/(pi*(10^2-7^2))*(10^2-7^2)).

How to calculate Surface to Volume Ratio of Cylindrical Shell given Volume?

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

Here are the different ways to Calculate Surface to Volume Ratio of Cylindrical Shell-

Surface to Volume Ratio of Cylindrical Shell=(2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))
Surface to Volume Ratio of Cylindrical Shell=(2*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)+Outer Radius of Cylindrical Shell)*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)-Outer Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)^2-Outer Radius of Cylindrical Shell^2))
Surface to Volume Ratio of Cylindrical Shell=(2*(Inner Radius of Cylindrical Shell+(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell))*(Inner Radius of Cylindrical Shell-(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(Inner Radius of Cylindrical Shell^2-(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2))

Can the Surface to Volume Ratio of Cylindrical Shell given Volume be negative?

No, the Surface to Volume Ratio of Cylindrical Shell given Volume, measured in Reciprocal Length cannot be negative.

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

Surface to Volume Ratio of Cylindrical Shell given Volume is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Cylindrical Shell given Volume can be measured.

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Surface to Volume Ratio of Cylindrical Shell given Volume Formula

​GoSurface to Volume Ratio of Cylindrical Shell Formula

​GoSurface to Volume Ratio of Cylindrical Shell given Wall Thickness and Outer Radius Formula

Surface to Volume Ratio of Cylindrical Shell given Volume Example

Surface to Volume Ratio of Cylindrical Shell given Volume Solution

Surface to Volume Ratio of Cylindrical Shell given Volume Formula Elements

Other Formulas to find Surface to Volume Ratio of Cylindrical Shell

How to Evaluate Surface to Volume Ratio of Cylindrical Shell given Volume?

FAQs on Surface to Volume Ratio of Cylindrical Shell given Volume

Variable Name

GoSurface to Volume Ratio of Cylindrical Shell Formula

GoSurface to Volume Ratio of Cylindrical Shell given Wall Thickness and Outer Radius Formula