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Inner Radius of Cylindrical Shell given Lateral Surface Area Formula

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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. Check FAQs

r Inner = \frac{LSA}{2 \cdot π \cdot h} - r Outer

r_Inner - Inner Radius of Cylindrical Shell?LSA - Lateral Surface Area of Cylindrical Shell?h - Height of Cylindrical Shell?r_Outer - Outer Radius of Cylindrical Shell?π - Archimedes' constant?

Inner Radius of Cylindrical Shell given Lateral Surface Area Example

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Here is how the Inner Radius of Cylindrical Shell given Lateral Surface Area equation looks like with Values.

Here is how the Inner Radius of Cylindrical Shell given Lateral Surface Area equation looks like with Units.

Here is how the Inner Radius of Cylindrical Shell given Lateral Surface Area equation looks like.

6.8704 = \frac{530}{2 \cdot 3.1416 \cdot 5} - 10

6.8704m = \frac{530m²}{2 \cdot 3.1416 \cdot 5m} - 10m

6.8704 = \frac{530}{2 \cdot 3.1416 \cdot 5} - 10

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Inner Radius of Cylindrical Shell given Lateral Surface Area Solution

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

FIRST Step Consider the formula

r Inner = \frac{LSA}{2 \cdot π \cdot h} - r Outer

Next Step Substitute values of Variables

∴

r Inner = \frac{530m²}{2 \cdot π \cdot 5m} - 10m

Next Step Substitute values of Constants

∴

r Inner = \frac{530m²}{2 \cdot 3.1416 \cdot 5m} - 10m

Next Step Prepare to Evaluate

∴

r Inner = \frac{530}{2 \cdot 3.1416 \cdot 5} - 10

Next Step Evaluate

∴

r Inner = 6.8704239677409m

LAST Step Rounding Answer

∴

r Inner = 6.8704m

Inner Radius of Cylindrical Shell given Lateral Surface Area Formula Elements

Variables

Constants

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

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

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

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 Inner Radius of Cylindrical Shell

Go Inner Radius of Cylindrical Shell

r Inner = r Outer - t Wall

Other formulas in Inner Radius of Cylindrical Shell category

Go Height of Cylindrical Shell given Lateral Surface Area

h = \frac{LSA}{2 \cdot π \cdot (r Outer + r Inner)}

Go Height of Cylindrical Shell given Volume

h = \frac{V}{π \cdot ({r Outer}^{2} - {r Inner}^{2})}

Go Outer Radius of Cylindrical Shell

r Outer = t Wall + r Inner

Go Outer Radius of Cylindrical Shell given Lateral Surface Area

r Outer = \frac{LSA}{2 \cdot π \cdot h} - r Inner

How to Evaluate Inner Radius of Cylindrical Shell given Lateral Surface Area?

Inner Radius of Cylindrical Shell given Lateral Surface Area evaluator uses Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell to evaluate the Inner Radius of Cylindrical Shell, Inner Radius of Cylindrical Shell given Lateral Surface Area formula is defined as the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell, and calculated using the lateral surface area of the Cylindrical Shell. Inner Radius of Cylindrical Shell is denoted by r_Inner symbol.

How to evaluate Inner Radius of Cylindrical Shell given Lateral Surface Area using this online evaluator? To use this online evaluator for Inner Radius of Cylindrical Shell given Lateral Surface Area, enter Lateral Surface Area of Cylindrical Shell (LSA), Height of Cylindrical Shell (h) & Outer Radius of Cylindrical Shell (r_Outer) and hit the calculate button.

FAQs on Inner Radius of Cylindrical Shell given Lateral Surface Area

What is the formula to find Inner Radius of Cylindrical Shell given Lateral Surface Area?

The formula of Inner Radius of Cylindrical Shell given Lateral Surface Area is expressed as Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell. Here is an example- 6.870424 = 530/(2*pi*5)-10.

How to calculate Inner Radius of Cylindrical Shell given Lateral Surface Area?

With Lateral Surface Area of Cylindrical Shell (LSA), Height of Cylindrical Shell (h) & Outer Radius of Cylindrical Shell (r_Outer) we can find Inner Radius of Cylindrical Shell given Lateral Surface Area using the formula - Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell. This formula also uses Archimedes' constant .

What are the other ways to Calculate Inner Radius of Cylindrical Shell?

Here are the different ways to Calculate Inner Radius of Cylindrical Shell-

Inner Radius of Cylindrical Shell=Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell

Can the Inner Radius of Cylindrical Shell given Lateral Surface Area be negative?

No, the Inner Radius of Cylindrical Shell given Lateral Surface Area, measured in Length cannot be negative.

Which unit is used to measure Inner Radius of Cylindrical Shell given Lateral Surface Area?

Inner Radius of Cylindrical Shell given Lateral Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inner Radius of Cylindrical Shell given Lateral Surface Area can be measured.

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Inner Radius of Cylindrical Shell given Lateral Surface Area Formula

​GoInner Radius of Cylindrical Shell Formula

Inner Radius of Cylindrical Shell given Lateral Surface Area Example

Inner Radius of Cylindrical Shell given Lateral Surface Area Solution

Inner Radius of Cylindrical Shell given Lateral Surface Area Formula Elements

Other Formulas to find Inner Radius of Cylindrical Shell

Other formulas in Inner Radius of Cylindrical Shell category

How to Evaluate Inner Radius of Cylindrical Shell given Lateral Surface Area?

FAQs on Inner Radius of Cylindrical Shell given Lateral Surface Area

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