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Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius 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 Inner + (r Inner - t Wall)) \cdot (r Inner - (r Inner - t Wall) + h)}{h \cdot ({r Inner}^{2} - {(r Inner - t Wall)}^{2})}

R_A/V - Surface to Volume Ratio of Cylindrical Shell?r_Inner - Inner Radius of Cylindrical Shell?t_Wall - Wall Thickness of Cylindrical Shell?h - Height of Cylindrical Shell?

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

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Here is how the Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius equation looks like with Values.

Here is how the Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius equation looks like with Units.

Here is how the Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius equation looks like.

1.0667 = \frac{2 \cdot (7 + (7 - 3)) \cdot (7 - (7 - 3) + 5)}{5 \cdot (7^{2} - {(7 - 3)}^{2})}

1.0667m⁻¹ = \frac{2 \cdot (7m + (7m - 3m)) \cdot (7m - (7m - 3m) + 5m)}{5m \cdot ({7m}^{2} - {(7m - 3m)}^{2})}

1.0667 = \frac{2 \cdot (7 + (7 - 3)) \cdot (7 - (7 - 3) + 5)}{5 \cdot (7^{2} - {(7 - 3)}^{2})}

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3D Geometry » fx Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius

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

Follow our step by step solution on how to calculate Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius?

FIRST Step Consider the formula

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})}

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot (7m + (7m - 3m)) \cdot (7m - (7m - 3m) + 5m)}{5m \cdot ({7m}^{2} - {(7m - 3m)}^{2})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot (7 + (7 - 3)) \cdot (7 - (7 - 3) + 5)}{5 \cdot (7^{2} - {(7 - 3)}^{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 given Wall Thickness and Inner Radius 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

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

Wall Thickness of Cylindrical Shell

Wall Thickness of Cylindrical Shell is the shortest distance between the lateral curved surfaces of the inner and outer cylinders of the Cylindrical Shell.

Symbol: t_Wall

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wall Thickness 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

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 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 given Wall Thickness and Inner Radius?

Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius evaluator uses 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)) to evaluate the Surface to Volume Ratio of Cylindrical Shell, Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius 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 wall thickness and inner radius 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 Wall Thickness and Inner Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius, enter Inner Radius of Cylindrical Shell (r_Inner), Wall Thickness of Cylindrical Shell (t_Wall) & Height of Cylindrical Shell (h) and hit the calculate button.

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

What is the formula to find Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius?

The formula of Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius is expressed as 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)). Here is an example- 1.066667 = (2*(7+(7-3))*(7-(7-3)+5))/(5*(7^2-(7-3)^2)).

How to calculate Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius?

With Inner Radius of Cylindrical Shell (r_Inner), Wall Thickness of Cylindrical Shell (t_Wall) & Height of Cylindrical Shell (h) we can find Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius using the formula - 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)).

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=(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 given Wall Thickness and Inner Radius be negative?

No, the Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius?

Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius 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 Wall Thickness and Inner Radius can be measured.

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

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

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

Other Formulas to find Surface to Volume Ratio of Cylindrical Shell

How to Evaluate Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius?

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

Variable Name

GoSurface to Volume Ratio of Cylindrical Shell Formula

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