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

✖Total Surface Area of Cut Cylindrical Shell is the total quantity of plane enclosed on the entire surface of the Cut Cylindrical Shell.ⓘ Total Surface Area of Cut Cylindrical Shell [TSA]			+10% -10%
✖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.ⓘ Outer Radius of Cut Cylindrical Shell [r_Outer]			+10% -10%
✖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.ⓘ Inner Radius of Cut Cylindrical Shell [r_Inner]			+10% -10%
✖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.ⓘ Long Outer Height of Cut Cylindrical Shell [h_{Long Outer}]			+10% -10%
✖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.ⓘ Short Outer Height of Cut Cylindrical Shell [h_{Short Outer}]			+10% -10%
✖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.ⓘ Long Inner Height of Cut Cylindrical Shell [h_{Long Inner}]			+10% -10%
✖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.ⓘ Short Inner Height of Cut Cylindrical Shell [h_{Short Inner}]			+10% -10%

✖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.ⓘ Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area [LSA]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))))
LSA = TSA-(pi*(r_Outer^2-r_Inner^2+(r_Outer*sqrt(r_Outer^2+((h_{Long Outer}-h_{Short Outer})/2)^2))-(r_Inner*sqrt(r_Inner^2+((h_{Long Inner}-h_{Short Inner})/2)^2))))
This formula uses 1 Constants, 1 Functions, 8 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Lateral Surface Area of Cut Cylindrical Shell - (Measured in Square Meter) - 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.
Total Surface Area of Cut Cylindrical Shell - (Measured in Square Meter) - Total Surface Area of Cut Cylindrical Shell is the total quantity of plane enclosed on the entire surface of the Cut Cylindrical Shell.
Outer Radius of Cut Cylindrical Shell - (Measured in Meter) - 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.
Inner Radius of Cut Cylindrical Shell - (Measured in Meter) - 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.
Long Outer Height of Cut Cylindrical Shell - (Measured in Meter) - 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.
Short Outer Height of Cut Cylindrical Shell - (Measured in Meter) - 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.
Long Inner Height of Cut Cylindrical Shell - (Measured in Meter) - 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.
Short Inner Height of Cut Cylindrical Shell - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Cut Cylindrical Shell: 2800 Square Meter --> 2800 Square Meter No Conversion Required
Outer Radius of Cut Cylindrical Shell: 12 Meter --> 12 Meter No Conversion Required
Inner Radius of Cut Cylindrical Shell: 8 Meter --> 8 Meter No Conversion Required
Long Outer Height of Cut Cylindrical Shell: 20 Meter --> 20 Meter No Conversion Required
Short Outer Height of Cut Cylindrical Shell: 16 Meter --> 16 Meter No Conversion Required
Long Inner Height of Cut Cylindrical Shell: 19 Meter --> 19 Meter No Conversion Required
Short Inner Height of Cut Cylindrical Shell: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = TSA-(pi*(r_Outer^2-r_Inner^2+(r_Outer*sqrt(r_Outer^2+((h_{Long Outer}-h_{Short Outer})/2)^2))-(r_Inner*sqrt(r_Inner^2+((h_{Long Inner}-h_{Short Inner})/2)^2)))) --> 2800-(pi*(12^2-8^2+(12*sqrt(12^2+((20-16)/2)^2))-(8*sqrt(8^2+((19-17)/2)^2))))

Evaluating ... ...

LSA = 2292.66973553085

STEP 3: Convert Result to Output's Unit

2292.66973553085 Square Meter --> No Conversion Required

FINAL ANSWER

2292.66973553085 ≈ 2292.67 Square Meter <-- Lateral Surface Area of Cut Cylindrical Shell

(Calculation completed in 00.008 seconds)

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< Lateral Surface Area of Cut Cylindrical Shell Calculators

Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area

LaTeX Go 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))))

Lateral Surface Area of Cut Cylindrical Shell given Outer Radius

LaTeX Go 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 given Inner Radius

LaTeX Go 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)))

Lateral Surface Area of Cut Cylindrical Shell

LaTeX Go 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 given Total Surface Area Formula

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What is Cut Cylindrical Shell?

When a cylindrical shell is cut by a plane, across its lateral surface the resulting shape is called a Cut Cylindrical Shell. And if the cutting plane is parallel to the annular faces of the cylindrical shell then the resulting shapes are again cylindrical shells of smaller height. In general a Cut Cylindrical Shell has an annular face, two curved lateral surfaces one inside and one outside and an elliptical ring face, where that elliptical ring is the intersection of the cylindrical shell and the cutting plane.

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

Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area calculator 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 calculate 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 calculate Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area using this online calculator? To use this online calculator 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. Here is how the Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area calculation can be explained with given input values -> 2292.67 = 2800-(pi*(12^2-8^2+(12*sqrt(12^2+((20-16)/2)^2))-(8*sqrt(8^2+((19-17)/2)^2)))).

FAQ

What is Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area?

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 and is represented as LSA = TSA-(pi*(r_Outer^2-r_Inner^2+(r_Outer*sqrt(r_Outer^2+((h_{Long Outer}-h_{Short Outer})/2)^2))-(r_Inner*sqrt(r_Inner^2+((h_{Long Inner}-h_{Short Inner})/2)^2)))) or 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)))). Total Surface Area of Cut Cylindrical Shell is the total quantity of plane enclosed on the entire surface of the 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, 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, 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, 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, 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 & 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.

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

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 is calculated using 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 calculate Lateral Surface Area of Cut Cylindrical Shell given Total Surface Area, you need 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}). With our tool, you need to enter the respective value for Total Surface Area of Cut Cylindrical Shell, Outer Radius of Cut Cylindrical Shell, Inner Radius of Cut Cylindrical Shell, Long Outer Height of Cut Cylindrical Shell, Short Outer Height of Cut Cylindrical Shell, Long Inner Height of Cut Cylindrical Shell & Short Inner Height of Cut Cylindrical Shell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Lateral Surface Area of Cut Cylindrical Shell?

In this formula, Lateral Surface Area of Cut Cylindrical Shell uses Total Surface Area of Cut Cylindrical Shell, Outer Radius of Cut Cylindrical Shell, Inner Radius of Cut Cylindrical Shell, Long Outer Height of Cut Cylindrical Shell, Short Outer Height of Cut Cylindrical Shell, Long Inner Height of Cut Cylindrical Shell & Short Inner Height of Cut Cylindrical Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)))

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