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Lateral Surface Area of Cut Cylindrical Shell given Inner Radius Formula

GoLateral Surface Area of Cut Cylindrical Shell Formula

GoLateral Surface Area of Cut Cylindrical Shell given Outer Radius Formula

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Lateral Surface Area of Cut Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces ( that is, top and bottom faces are excluded) of the Cut Cylindrical Shell. Check FAQs

LSA = π \cdot (((t Wall + r Inner) \cdot (h Short Outer + h Long Outer)) + (r Inner \cdot (h Short Inner + h Long Inner)))

LSA - Lateral Surface Area of Cut Cylindrical Shell?t_Wall - Wall Thickness of Cut Cylindrical Shell?r_Inner - Inner Radius of Cut Cylindrical Shell?h_{Short Outer} - Short Outer Height of Cut Cylindrical Shell?h_{Long Outer} - Long Outer Height of Cut Cylindrical Shell?h_{Short Inner} - Short Inner Height of Cut Cylindrical Shell?h_{Long Inner} - Long Inner Height of Cut Cylindrical Shell?π - Archimedes' constant?

Lateral Surface Area of Cut Cylindrical Shell given Inner Radius Example

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

2261.9467 = 3.1416 \cdot (((4 + 8) \cdot (16 + 20)) + (8 \cdot (17 + 19)))

2261.9467m² = 3.1416 \cdot (((4m + 8m) \cdot (16m + 20m)) + (8m \cdot (17m + 19m)))

2261.9467 = 3.1416 \cdot (((4 + 8) \cdot (16 + 20)) + (8 \cdot (17 + 19)))

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Lateral Surface Area of Cut Cylindrical Shell given Inner Radius Solution

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

FIRST Step Consider the formula

LSA = π \cdot (((t Wall + r Inner) \cdot (h Short Outer + h Long Outer)) + (r Inner \cdot (h Short Inner + h Long Inner)))

Next Step Substitute values of Variables

∴

LSA = π \cdot (((4m + 8m) \cdot (16m + 20m)) + (8m \cdot (17m + 19m)))

Next Step Substitute values of Constants

∴

LSA = 3.1416 \cdot (((4m + 8m) \cdot (16m + 20m)) + (8m \cdot (17m + 19m)))

Next Step Prepare to Evaluate

∴

LSA = 3.1416 \cdot (((4 + 8) \cdot (16 + 20)) + (8 \cdot (17 + 19)))

Next Step Evaluate

∴

LSA = 2261.94671058465m²

LAST Step Rounding Answer

∴

LSA = 2261.9467m²

Lateral Surface Area of Cut Cylindrical Shell given Inner Radius Formula Elements

Variables

Constants

Lateral Surface Area of Cut Cylindrical Shell

Lateral Surface Area of Cut Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces ( that is, top and bottom faces are excluded) of the Cut Cylindrical Shell.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cut Cylindrical Shell

Wall Thickness of Cut Cylindrical Shell

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

Symbol: t_Wall

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wall Thickness of Cut Cylindrical Shell

Inner Radius of Cut Cylindrical Shell

Inner Radius of Cut Cylindrical Shell is the distance between center and any point on the circumference of the bottom circular face in the inner cut cylinder of the Cut Cylindrical Shell.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Cut Cylindrical Shell

Short Outer Height of Cut Cylindrical Shell

Short Outer Height of Cut Cylindrical Shell is the shortest vertical distance from the bottom circular face to the top elliptical face of the outer cut cylinder of the Cut Cylindrical Shell.

Symbol: h_{Short Outer}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Outer Height of Cut Cylindrical Shell

Long Outer Height of Cut Cylindrical Shell

Long Outer Height of Cut Cylindrical Shell is the longest vertical distance from the bottom circular face to the top elliptical face of the outer cut cylinder of the Cut Cylindrical Shell.

Symbol: h_{Long Outer}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Outer Height of Cut Cylindrical Shell

Short Inner Height of Cut Cylindrical Shell

Short Inner Height of Cut Cylindrical Shell is the shortest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell.

Symbol: h_{Short Inner}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Inner Height of Cut Cylindrical Shell

Long Inner Height of Cut Cylindrical Shell

Long Inner Height of Cut Cylindrical Shell is the longest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell.

Symbol: h_{Long Inner}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Inner Height of Cut 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 Lateral Surface Area of Cut Cylindrical Shell

Go Lateral Surface Area of Cut Cylindrical Shell

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

Go Lateral Surface Area of Cut Cylindrical Shell given Outer Radius

LSA = π \cdot ((r Outer \cdot (h Short Outer + h Long Outer)) + ((r Outer - t Wall) \cdot (h Short Inner + h Long Inner)))

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

Lateral Surface Area of Cut Cylindrical Shell given Inner Radius evaluator uses Lateral Surface Area of Cut Cylindrical Shell = pi*(((Wall Thickness of Cut Cylindrical Shell+Inner Radius of Cut Cylindrical Shell)*(Short Outer Height of Cut Cylindrical Shell+Long Outer Height of Cut Cylindrical Shell))+(Inner Radius of Cut Cylindrical Shell*(Short Inner Height of Cut Cylindrical Shell+Long Inner Height of Cut Cylindrical Shell))) to evaluate the Lateral Surface Area of Cut Cylindrical Shell, Lateral Surface Area of Cut Cylindrical Shell given Inner Radius formula is defined as the total quantity of plane enclosed on all the lateral curved surfaces (that is, top and bottom faces are excluded) of the Cut Cylindrical Shell, and calculated using wall thickness, inner radius, outer height and inner height of the Cut Cylindrical Shell. Lateral Surface Area of Cut Cylindrical Shell is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Cut Cylindrical Shell given Inner Radius using this online evaluator? To use this online evaluator for Lateral Surface Area of Cut Cylindrical Shell given Inner Radius, enter Wall Thickness of Cut Cylindrical Shell (t_Wall), Inner Radius of Cut Cylindrical Shell (r_Inner), Short Outer Height of Cut Cylindrical Shell (h_{Short Outer}), Long Outer Height of Cut Cylindrical Shell (h_{Long Outer}), Short Inner Height of Cut Cylindrical Shell (h_{Short Inner}) & Long Inner Height of Cut Cylindrical Shell (h_{Long Inner}) and hit the calculate button.

FAQs on Lateral Surface Area of Cut Cylindrical Shell given Inner Radius

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

The formula of Lateral Surface Area of Cut Cylindrical Shell given Inner Radius is expressed as Lateral Surface Area of Cut Cylindrical Shell = pi*(((Wall Thickness of Cut Cylindrical Shell+Inner Radius of Cut Cylindrical Shell)*(Short Outer Height of Cut Cylindrical Shell+Long Outer Height of Cut Cylindrical Shell))+(Inner Radius of Cut Cylindrical Shell*(Short Inner Height of Cut Cylindrical Shell+Long Inner Height of Cut Cylindrical Shell))). Here is an example- 2261.947 = pi*(((4+8)*(16+20))+(8*(17+19))).

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

With Wall Thickness of Cut Cylindrical Shell (t_Wall), Inner Radius of Cut Cylindrical Shell (r_Inner), Short Outer Height of Cut Cylindrical Shell (h_{Short Outer}), Long Outer Height of Cut Cylindrical Shell (h_{Long Outer}), Short Inner Height of Cut Cylindrical Shell (h_{Short Inner}) & Long Inner Height of Cut Cylindrical Shell (h_{Long Inner}) we can find Lateral Surface Area of Cut Cylindrical Shell given Inner Radius using the formula - Lateral Surface Area of Cut Cylindrical Shell = pi*(((Wall Thickness of Cut Cylindrical Shell+Inner Radius of Cut Cylindrical Shell)*(Short Outer Height of Cut Cylindrical Shell+Long Outer Height of Cut Cylindrical Shell))+(Inner Radius of Cut Cylindrical Shell*(Short Inner Height of Cut Cylindrical Shell+Long Inner Height of Cut Cylindrical Shell))). This formula also uses Archimedes' constant .

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

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

Lateral Surface Area of Cut Cylindrical Shell=pi*((Outer Radius of Cut Cylindrical Shell*(Short Outer Height of Cut Cylindrical Shell+Long Outer Height of Cut Cylindrical Shell))+(Inner Radius of Cut Cylindrical Shell*(Short Inner Height of Cut Cylindrical Shell+Long Inner Height of Cut Cylindrical Shell)))
Lateral Surface Area of Cut Cylindrical Shell=pi*((Outer Radius of Cut Cylindrical Shell*(Short Outer Height of Cut Cylindrical Shell+Long Outer Height of Cut Cylindrical Shell))+((Outer Radius of Cut Cylindrical Shell-Wall Thickness of Cut Cylindrical Shell)*(Short Inner Height of Cut Cylindrical Shell+Long Inner Height of Cut Cylindrical Shell)))
Lateral Surface Area of Cut Cylindrical Shell=Total Surface Area of Cut Cylindrical Shell-(pi*(Outer Radius of Cut Cylindrical Shell^2-Inner Radius of Cut Cylindrical Shell^2+(Outer Radius of Cut Cylindrical Shell*sqrt(Outer Radius of Cut Cylindrical Shell^2+((Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell)/2)^2))-(Inner Radius of Cut Cylindrical Shell*sqrt(Inner Radius of Cut Cylindrical Shell^2+((Long Inner Height of Cut Cylindrical Shell-Short Inner Height of Cut Cylindrical Shell)/2)^2))))

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

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

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

Lateral Surface Area of Cut Cylindrical Shell given 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 Cut Cylindrical Shell given Inner Radius can be measured.

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Lateral Surface Area of Cut Cylindrical Shell given Inner Radius Formula

​GoLateral Surface Area of Cut Cylindrical Shell Formula

​GoLateral Surface Area of Cut Cylindrical Shell given Outer Radius Formula

Lateral Surface Area of Cut Cylindrical Shell given Inner Radius Example

Lateral Surface Area of Cut Cylindrical Shell given Inner Radius Solution

Lateral Surface Area of Cut Cylindrical Shell given Inner Radius Formula Elements

Other Formulas to find Lateral Surface Area of Cut Cylindrical Shell

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

FAQs on Lateral Surface Area of Cut Cylindrical Shell given Inner Radius

Variable Name

GoLateral Surface Area of Cut Cylindrical Shell Formula

GoLateral Surface Area of Cut Cylindrical Shell given Outer Radius Formula