Short Height of Cut Cylinder given Lateral Surface Area Calculator

✖Lateral Surface Area of Cut Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Cut Cylinder.ⓘ Lateral Surface Area of Cut Cylinder [LSA]			+10% -10%
✖Radius of Cut Cylinder is the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder.ⓘ Radius of Cut Cylinder [r]			+10% -10%
✖Long Height of Cut Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.ⓘ Long Height of Cut Cylinder [h_Long]			+10% -10%

✖Short Height of Cut Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.ⓘ Short Height of Cut Cylinder given Lateral Surface Area [h_Short]

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Formula

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Short Height of Cut Cylinder given Lateral Surface Area

Formula

`"h"_{"Short"} = "LSA"/(pi*"r")-"h"_{"Long"}`

Example

`"11.83099m"="500m²"/(pi*"5m")-"20m"`

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Short Height of Cut Cylinder given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Height of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Long Height of Cut Cylinder
h_Short = LSA/(pi*r)-h_Long
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Short Height of Cut Cylinder - (Measured in Meter) - Short Height of Cut Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.
Lateral Surface Area of Cut Cylinder - (Measured in Square Meter) - Lateral Surface Area of Cut Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Cut Cylinder.
Radius of Cut Cylinder - (Measured in Meter) - Radius of Cut Cylinder is the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder.
Long Height of Cut Cylinder - (Measured in Meter) - Long Height of Cut Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cut Cylinder: 500 Square Meter --> 500 Square Meter No Conversion Required
Radius of Cut Cylinder: 5 Meter --> 5 Meter No Conversion Required
Long Height of Cut Cylinder: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Short = LSA/(pi*r)-h_Long --> 500/(pi*5)-20

Evaluating ... ...

h_Short = 11.8309886183791

STEP 3: Convert Result to Output's Unit

11.8309886183791 Meter --> No Conversion Required

FINAL ANSWER

11.8309886183791 ≈ 11.83099 Meter <-- Short Height of Cut Cylinder

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 3 Short Height of Cut Cylinder Calculators

Short Height of Cut Cylinder given Total Surface Area

Go Short Height of Cut Cylinder = Total Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Radius of Cut Cylinder-Semi Minor Axis of Cut Cylinder-Long Height of Cut Cylinder

Short Height of Cut Cylinder given Lateral Surface Area

Go Short Height of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Long Height of Cut Cylinder

Short Height of Cut Cylinder given Volume

Go Short Height of Cut Cylinder = (2*Volume of Cut Cylinder)/(pi*Radius of Cut Cylinder^2)-Long Height of Cut Cylinder

Short Height of Cut Cylinder given Lateral Surface Area Formula

Short Height of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Long Height of Cut Cylinder
h_Short = LSA/(pi*r)-h_Long

What is a Cut Cylinder?

When a cylinder is cut by a plane, across its lateral surface the resulting shape is called a Cut Cylinder. If the cut slices the base then it is a cylindrical wedge. And if the cutting plane is parallel to the circular faces of the cylinder then the resulting shapes are again cylinders of smaller height. In general a Cut Cylinder has a circular face, a curved lateral surface and an elliptical face, where that ellipse is the intersection of the cylinder and cutting plane.

How to Calculate Short Height of Cut Cylinder given Lateral Surface Area?

Short Height of Cut Cylinder given Lateral Surface Area calculator uses Short Height of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Long Height of Cut Cylinder to calculate the Short Height of Cut Cylinder, Short Height of Cut Cylinder given Lateral Surface Area formula is defined as the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder, and calculated using lateral surface area of Cut Cylinder. Short Height of Cut Cylinder is denoted by h_Short symbol.

How to calculate Short Height of Cut Cylinder given Lateral Surface Area using this online calculator? To use this online calculator for Short Height of Cut Cylinder given Lateral Surface Area, enter Lateral Surface Area of Cut Cylinder (LSA), Radius of Cut Cylinder (r) & Long Height of Cut Cylinder (h_Long) and hit the calculate button. Here is how the Short Height of Cut Cylinder given Lateral Surface Area calculation can be explained with given input values -> 11.83099 = 500/(pi*5)-20.

FAQ

What is Short Height of Cut Cylinder given Lateral Surface Area?

Short Height of Cut Cylinder given Lateral Surface Area formula is defined as the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder, and calculated using lateral surface area of Cut Cylinder and is represented as h_Short = LSA/(pi*r)-h_Long or Short Height of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Long Height of Cut Cylinder. Lateral Surface Area of Cut Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Cut Cylinder, Radius of Cut Cylinder is the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder & Long Height of Cut Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

How to calculate Short Height of Cut Cylinder given Lateral Surface Area?

Short Height of Cut Cylinder given Lateral Surface Area formula is defined as the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder, and calculated using lateral surface area of Cut Cylinder is calculated using Short Height of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Long Height of Cut Cylinder. To calculate Short Height of Cut Cylinder given Lateral Surface Area, you need Lateral Surface Area of Cut Cylinder (LSA), Radius of Cut Cylinder (r) & Long Height of Cut Cylinder (h_Long). With our tool, you need to enter the respective value for Lateral Surface Area of Cut Cylinder, Radius of Cut Cylinder & Long Height of Cut Cylinder 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 Short Height of Cut Cylinder?

In this formula, Short Height of Cut Cylinder uses Lateral Surface Area of Cut Cylinder, Radius of Cut Cylinder & Long Height of Cut Cylinder. We can use 2 other way(s) to calculate the same, which is/are as follows -

Short Height of Cut Cylinder = Total Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Radius of Cut Cylinder-Semi Minor Axis of Cut Cylinder-Long Height of Cut Cylinder
Short Height of Cut Cylinder = (2*Volume of Cut Cylinder)/(pi*Radius of Cut Cylinder^2)-Long Height of Cut Cylinder

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