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Surface to Volume Ratio of Cylindrical Shell given Volume 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 (\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}}

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

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

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

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

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

1.0675 = \frac{2 \cdot (\sqrt{\frac{800}{3.1416 \cdot 5} + 7^{2}} + 7) \cdot (\sqrt{\frac{800}{3.1416 \cdot 5} + 7^{2}} - 7 + 5)}{\frac{800}{3.1416}}

1.0675m⁻¹ = \frac{2 \cdot (\sqrt{\frac{800m³}{3.1416 \cdot 5m} + {7m}^{2}} + 7m) \cdot (\sqrt{\frac{800m³}{3.1416 \cdot 5m} + {7m}^{2}} - 7m + 5m)}{\frac{800m³}{3.1416}}

1.0675 = \frac{2 \cdot (\sqrt{\frac{800}{3.1416 \cdot 5} + 7^{2}} + 7) \cdot (\sqrt{\frac{800}{3.1416 \cdot 5} + 7^{2}} - 7 + 5)}{\frac{800}{3.1416}}

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

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

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

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot (\sqrt{\frac{800m³}{π \cdot 5m} + {7m}^{2}} + 7m) \cdot (\sqrt{\frac{800m³}{π \cdot 5m} + {7m}^{2}} - 7m + 5m)}{\frac{800m³}{π}}

Next Step Substitute values of Constants

∴

R A/V = \frac{2 \cdot (\sqrt{\frac{800m³}{3.1416 \cdot 5m} + {7m}^{2}} + 7m) \cdot (\sqrt{\frac{800m³}{3.1416 \cdot 5m} + {7m}^{2}} - 7m + 5m)}{\frac{800m³}{3.1416}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot (\sqrt{\frac{800}{3.1416 \cdot 5} + 7^{2}} + 7) \cdot (\sqrt{\frac{800}{3.1416 \cdot 5} + 7^{2}} - 7 + 5)}{\frac{800}{3.1416}}

Next Step Evaluate

∴

R A/V = 1.067450148705m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.0675m⁻¹

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

Variables

Constants

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 and Inner Radius?

Surface to Volume Ratio of Cylindrical Shell given Volume and Inner Radius evaluator uses Surface to Volume Ratio of Cylindrical Shell = (2*(sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)+Inner Radius of Cylindrical Shell)*(sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Volume of Cylindrical Shell/pi) to evaluate the Surface to Volume Ratio of Cylindrical Shell, Surface to Volume Ratio of Cylindrical Shell given Volume 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 volume 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 Volume and Inner Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Cylindrical Shell given Volume and Inner Radius, enter Volume of Cylindrical Shell (V), Height of Cylindrical Shell (h) & Inner Radius of Cylindrical Shell (r_Inner) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Cylindrical Shell given Volume and Inner Radius is expressed as Surface to Volume Ratio of Cylindrical Shell = (2*(sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)+Inner Radius of Cylindrical Shell)*(sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Volume of Cylindrical Shell/pi). Here is an example- 1.06745 = (2*(sqrt(800/(pi*5)+7^2)+7)*(sqrt(800/(pi*5)+7^2)-7+5))/(800/pi).

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

With Volume of Cylindrical Shell (V), Height of Cylindrical Shell (h) & Inner Radius of Cylindrical Shell (r_Inner) we can find Surface to Volume Ratio of Cylindrical Shell given Volume and Inner Radius using the formula - Surface to Volume Ratio of Cylindrical Shell = (2*(sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)+Inner Radius of Cylindrical Shell)*(sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Volume of Cylindrical Shell/pi). This formula also uses Archimedes' constant and Square Root Function function(s).

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 and Inner Radius be negative?

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

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

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

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

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

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

FAQs on Surface to Volume Ratio of Cylindrical Shell given Volume 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