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Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area 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 = TSA - (π \cdot ({r Outer}^{2} - {r Inner}^{2} + (r Outer \cdot \sqrt{{r Outer}^{2} + {(\frac{h Long Outer - h Short Outer}{2})}^{2}}) - (r Inner \cdot \sqrt{{r Inner}^{2} + {(\frac{h Long Inner - h Short Inner}{2})}^{2}})))

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

Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area Example

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

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

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

2292.6697 = 2800 - (3.1416 \cdot (12^{2} - 8^{2} + (12 \cdot \sqrt{12^{2} + {(\frac{20 - 16}{2})}^{2}}) - (8 \cdot \sqrt{8^{2} + {(\frac{19 - 17}{2})}^{2}})))

2292.6697m² = 2800m² - (3.1416 \cdot ({12m}^{2} - {8m}^{2} + (12m \cdot \sqrt{{12m}^{2} + {(\frac{20m - 16m}{2})}^{2}}) - (8m \cdot \sqrt{{8m}^{2} + {(\frac{19m - 17m}{2})}^{2}})))

2292.6697 = 2800 - (3.1416 \cdot (12^{2} - 8^{2} + (12 \cdot \sqrt{12^{2} + {(\frac{20 - 16}{2})}^{2}}) - (8 \cdot \sqrt{8^{2} + {(\frac{19 - 17}{2})}^{2}})))

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Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area Solution

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

FIRST Step Consider the formula

LSA = TSA - (π \cdot ({r Outer}^{2} - {r Inner}^{2} + (r Outer \cdot \sqrt{{r Outer}^{2} + {(\frac{h Long Outer - h Short Outer}{2})}^{2}}) - (r Inner \cdot \sqrt{{r Inner}^{2} + {(\frac{h Long Inner - h Short Inner}{2})}^{2}})))

Next Step Substitute values of Variables

∴

LSA = 2800m² - (π \cdot ({12m}^{2} - {8m}^{2} + (12m \cdot \sqrt{{12m}^{2} + {(\frac{20m - 16m}{2})}^{2}}) - (8m \cdot \sqrt{{8m}^{2} + {(\frac{19m - 17m}{2})}^{2}})))

Next Step Substitute values of Constants

∴

LSA = 2800m² - (3.1416 \cdot ({12m}^{2} - {8m}^{2} + (12m \cdot \sqrt{{12m}^{2} + {(\frac{20m - 16m}{2})}^{2}}) - (8m \cdot \sqrt{{8m}^{2} + {(\frac{19m - 17m}{2})}^{2}})))

Next Step Prepare to Evaluate

∴

LSA = 2800 - (3.1416 \cdot (12^{2} - 8^{2} + (12 \cdot \sqrt{12^{2} + {(\frac{20 - 16}{2})}^{2}}) - (8 \cdot \sqrt{8^{2} + {(\frac{19 - 17}{2})}^{2}})))

Next Step Evaluate

∴

LSA = 2292.66973553085m²

LAST Step Rounding Answer

∴

LSA = 2292.6697m²

Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area Formula Elements

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Constants

Functions

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

Total Surface Area of Cut Cylindrical Shell

Total Surface Area of Cut Cylindrical Shell is the total quantity of plane enclosed on the entire surface of the Cut Cylindrical Shell.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Cut Cylindrical Shell

Outer Radius of Cut Cylindrical Shell

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

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius 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

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 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 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

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

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 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 Total Surface Area?

Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area evaluator uses 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)))) to evaluate the Lateral Surface Area of Cut Cylindrical Shell, Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area 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 total surface area, outer radius, outer height, inner height and inner radius 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 Total Surface Area using this online evaluator? To use this online evaluator for Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area, enter Total Surface Area of Cut Cylindrical Shell (TSA), Outer Radius of Cut Cylindrical Shell (r_Outer), Inner Radius of Cut Cylindrical Shell (r_Inner), Long Outer Height of Cut Cylindrical Shell (h_{Long Outer}), Short Outer Height of Cut Cylindrical Shell (h_{Short Outer}), Long Inner Height of Cut Cylindrical Shell (h_{Long Inner}) & Short Inner Height of Cut Cylindrical Shell (h_{Short Inner}) and hit the calculate button.

FAQs on Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area

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

The formula of Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area is expressed as 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)))). Here is an example- 2292.67 = 2800-(pi*(12^2-8^2+(12*sqrt(12^2+((20-16)/2)^2))-(8*sqrt(8^2+((19-17)/2)^2)))).

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

With Total Surface Area of Cut Cylindrical Shell (TSA), Outer Radius of Cut Cylindrical Shell (r_Outer), Inner Radius of Cut Cylindrical Shell (r_Inner), Long Outer Height of Cut Cylindrical Shell (h_{Long Outer}), Short Outer Height of Cut Cylindrical Shell (h_{Short Outer}), Long Inner Height of Cut Cylindrical Shell (h_{Long Inner}) & Short Inner Height of Cut Cylindrical Shell (h_{Short Inner}) we can find Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area using the formula - 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)))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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=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)))

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

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

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

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

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Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area 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 Total Surface Area Example

Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area Solution

Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area Formula Elements

Other Formulas to find Lateral Surface Area of Cut Cylindrical Shell

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

FAQs on Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area

Variable Name

GoLateral Surface Area of Cut Cylindrical Shell Formula

GoLateral Surface Area of Cut Cylindrical Shell given Outer Radius Formula