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Surface to Volume Ratio of Cylindrical Shell Formula

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

GoSurface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner 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 + h)}{h \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?h - Height of Cylindrical Shell?

Surface to Volume Ratio of Cylindrical Shell Example

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

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

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

1.0667 = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + 5)}{5 \cdot (10^{2} - 7^{2})}

1.0667m⁻¹ = \frac{2 \cdot (10m + 7m) \cdot (10m - 7m + 5m)}{5m \cdot ({10m}^{2} - {7m}^{2})}

1.0667 = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + 5)}{5 \cdot (10^{2} - 7^{2})}

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Surface to Volume Ratio of Cylindrical Shell Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot (10m + 7m) \cdot (10m - 7m + 5m)}{5m \cdot ({10m}^{2} - {7m}^{2})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + 5)}{5 \cdot (10^{2} - 7^{2})}

Next Step Evaluate

∴

R A/V = 1.06666666666667m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.0667m⁻¹

Surface to Volume Ratio of Cylindrical Shell Formula Elements

Variables

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

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

Other Formulas to find Surface to Volume Ratio of Cylindrical Shell

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})}

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

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

How to Evaluate Surface to Volume Ratio of Cylindrical Shell?

Surface to Volume Ratio of Cylindrical Shell 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+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(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 formula is defined as the numerical ratio of the total surface area of Cylindrical Shell to 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 using this online evaluator? To use this online evaluator for Surface to Volume Ratio 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 Surface to Volume Ratio of Cylindrical Shell

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

The formula of Surface to Volume Ratio of Cylindrical Shell 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+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). Here is an example- 1.066667 = (2*(10+7)*(10-7+5))/(5*(10^2-7^2)).

How to calculate Surface to Volume Ratio 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 Surface to Volume Ratio of Cylindrical Shell 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+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)).

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*((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))
Surface to Volume Ratio of Cylindrical Shell=(Lateral Surface Area of Cylindrical Shell/(pi*Height of Cylindrical Shell)*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2))

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

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

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

Surface to Volume Ratio of Cylindrical Shell 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 can be measured.

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Surface to Volume Ratio of Cylindrical Shell Formula

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

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

Surface to Volume Ratio of Cylindrical Shell Example

Surface to Volume Ratio of Cylindrical Shell Solution

Surface to Volume Ratio of Cylindrical Shell Formula Elements

Other Formulas to find Surface to Volume Ratio of Cylindrical Shell

How to Evaluate Surface to Volume Ratio of Cylindrical Shell?

FAQs on Surface to Volume Ratio of Cylindrical Shell

Variable Name

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

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