FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area Formula

GoSurface to Volume Ratio of Cylindrical Shell Formula

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

Fx Copy

LaTeX Copy

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{LSA}{2 \cdot π \cdot (r Outer + r Inner)})}{\frac{LSA}{2 \cdot π \cdot (r Outer + r Inner)} \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?LSA - Lateral Surface Area of Cylindrical Shell?π - Archimedes' constant?

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area Example

With values

With units

Only example

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

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

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

1.0697 = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + \frac{530}{2 \cdot 3.1416 \cdot (10 + 7)})}{\frac{530}{2 \cdot 3.1416 \cdot (10 + 7)} \cdot (10^{2} - 7^{2})}

1.0697m⁻¹ = \frac{2 \cdot (10m + 7m) \cdot (10m - 7m + \frac{530m²}{2 \cdot 3.1416 \cdot (10m + 7m)})}{\frac{530m²}{2 \cdot 3.1416 \cdot (10m + 7m)} \cdot ({10m}^{2} - {7m}^{2})}

1.0697 = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + \frac{530}{2 \cdot 3.1416 \cdot (10 + 7)})}{\frac{530}{2 \cdot 3.1416 \cdot (10 + 7)} \cdot (10^{2} - 7^{2})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area Solution

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

FIRST Step Consider the formula

R A/V = \frac{2 \cdot (r Outer + r Inner) \cdot (r Outer - r Inner + \frac{LSA}{2 \cdot π \cdot (r Outer + r Inner)})}{\frac{LSA}{2 \cdot π \cdot (r Outer + r Inner)} \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{530m²}{2 \cdot π \cdot (10m + 7m)})}{\frac{530m²}{2 \cdot π \cdot (10m + 7m)} \cdot ({10m}^{2} - {7m}^{2})}

Next Step Substitute values of Constants

∴

R A/V = \frac{2 \cdot (10m + 7m) \cdot (10m - 7m + \frac{530m²}{2 \cdot 3.1416 \cdot (10m + 7m)})}{\frac{530m²}{2 \cdot 3.1416 \cdot (10m + 7m)} \cdot ({10m}^{2} - {7m}^{2})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot (10 + 7) \cdot (10 - 7 + \frac{530}{2 \cdot 3.1416 \cdot (10 + 7)})}{\frac{530}{2 \cdot 3.1416 \cdot (10 + 7)} \cdot (10^{2} - 7^{2})}

Next Step Evaluate

∴

R A/V = 1.06973893165555m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.0697m⁻¹

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area 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

Lateral Surface Area of Cylindrical Shell

Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area 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 Lateral Surface Area?

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area 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+Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))))/(Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius 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 given Lateral Surface Area 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 lateral surface area 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 Lateral Surface Area using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area, enter Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Lateral Surface Area of Cylindrical Shell (LSA) and hit the calculate button.

FAQs on Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area

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

The formula of Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area 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+Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))))/(Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). Here is an example- 1.069739 = (2*(10+7)*(10-7+530/(2*pi*(10+7))))/(530/(2*pi*(10+7))*(10^2-7^2)).

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

With Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Lateral Surface Area of Cylindrical Shell (LSA) we can find Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area 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+Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))))/(Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))*(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 Lateral Surface Area be negative?

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

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

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area 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 Lateral Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area 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 Lateral Surface Area Example

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area Solution

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area Formula Elements

Other Formulas to find Surface to Volume Ratio of Cylindrical Shell

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

FAQs on Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area

Variable Name

GoSurface to Volume Ratio of Cylindrical Shell Formula

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