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Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius Formula

GoLateral Surface Area of Cylindrical Shell Formula

GoLateral Surface Area of Cylindrical Shell given Volume Formula

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

LSA = 2 \cdot π \cdot h \cdot (r Inner + \sqrt{\frac{V}{π \cdot h} + {r Inner}^{2}})

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

Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius Example

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

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

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

533.9601 = 2 \cdot 3.1416 \cdot 5 \cdot (7 + \sqrt{\frac{800}{3.1416 \cdot 5} + 7^{2}})

533.9601m² = 2 \cdot 3.1416 \cdot 5m \cdot (7m + \sqrt{\frac{800m³}{3.1416 \cdot 5m} + {7m}^{2}})

533.9601 = 2 \cdot 3.1416 \cdot 5 \cdot (7 + \sqrt{\frac{800}{3.1416 \cdot 5} + 7^{2}})

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Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius Solution

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

FIRST Step Consider the formula

LSA = 2 \cdot π \cdot h \cdot (r Inner + \sqrt{\frac{V}{π \cdot h} + {r Inner}^{2}})

Next Step Substitute values of Variables

∴

LSA = 2 \cdot π \cdot 5m \cdot (7m + \sqrt{\frac{800m³}{π \cdot 5m} + {7m}^{2}})

Next Step Substitute values of Constants

∴

LSA = 2 \cdot 3.1416 \cdot 5m \cdot (7m + \sqrt{\frac{800m³}{3.1416 \cdot 5m} + {7m}^{2}})

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

LSA = 533.960118964001m²

LAST Step Rounding Answer

∴

LSA = 533.9601m²

Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius Formula Elements

Variables

Constants

Functions

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

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

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

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 Lateral Surface Area of Cylindrical Shell

Go Lateral Surface Area of Cylindrical Shell

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

Go Lateral Surface Area of Cylindrical Shell given Volume

LSA = \frac{2 \cdot V}{{r Outer}^{2} - {r Inner}^{2}} \cdot (r Outer + r Inner)

Go Lateral Surface Area of Cylindrical Shell given Wall Thickness and Outer Radius

LSA = 2 \cdot π \cdot h \cdot ((2 \cdot r Outer) - t Wall)

Go Lateral Surface Area of Cylindrical Shell given Wall Thickness and Inner Radius

LSA = 2 \cdot π \cdot h \cdot (t Wall + (2 \cdot r Inner))

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

Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius evaluator uses Lateral Surface Area of Cylindrical Shell = 2*pi*Height of Cylindrical Shell*(Inner Radius of Cylindrical Shell+sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)) to evaluate the Lateral Surface Area of Cylindrical Shell, Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius formula is defined as the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell, and calculated using the volume and inner radius of the Cylindrical Shell. Lateral Surface Area of Cylindrical Shell is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius

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

The formula of Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius is expressed as Lateral Surface Area of Cylindrical Shell = 2*pi*Height of Cylindrical Shell*(Inner Radius of Cylindrical Shell+sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)). Here is an example- 533.9601 = 2*pi*5*(7+sqrt(800/(pi*5)+7^2)).

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

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

What are the other ways to Calculate Lateral Surface Area of Cylindrical Shell?

Here are the different ways to Calculate Lateral Surface Area of Cylindrical Shell-

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

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

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

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

Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius can be measured.

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Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius Formula

​GoLateral Surface Area of Cylindrical Shell Formula

​GoLateral Surface Area of Cylindrical Shell given Volume Formula

Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius Example

Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius Solution

Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius Formula Elements

Other Formulas to find Lateral Surface Area of Cylindrical Shell

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

FAQs on Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius

Variable Name

GoLateral Surface Area of Cylindrical Shell Formula

GoLateral Surface Area of Cylindrical Shell given Volume Formula