Short Height of Cut Cylinder given Total Surface Area Calculator

✖Total Surface Area of Cut Cylinder is the total quantity of plane enclosed on the entire surface of the Cut Cylinder.ⓘ Total Surface Area of Cut Cylinder [TSA]			+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%
✖Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Cut Cylinder.ⓘ Semi Minor Axis of Cut Cylinder [b]			+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 Total Surface Area [h_Short]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Short Height of Cut Cylinder given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
h_Short = TSA/(pi*r)-r-b-h_Long
This formula uses 1 Constants, 5 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.
Total Surface Area of Cut Cylinder - (Measured in Square Meter) - Total Surface Area of Cut Cylinder is the total quantity of plane enclosed on the entire 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.
Semi Minor Axis of Cut Cylinder - (Measured in Meter) - Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic 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

Total Surface Area of Cut Cylinder: 680 Square Meter --> 680 Square Meter No Conversion Required
Radius of Cut Cylinder: 5 Meter --> 5 Meter No Conversion Required
Semi Minor Axis of Cut Cylinder: 6 Meter --> 6 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 = TSA/(pi*r)-r-b-h_Long --> 680/(pi*5)-5-6-20

Evaluating ... ...

h_Short = 12.2901445209955

STEP 3: Convert Result to Output's Unit

12.2901445209955 Meter --> No Conversion Required

FINAL ANSWER

12.2901445209955 ≈ 12.29014 Meter <-- Short Height of Cut Cylinder

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cut Cylinder » Height of Cut Cylinder » Short Height of Cut Cylinder » Short Height of Cut Cylinder given Total Surface Area

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Short Height of Cut Cylinder Calculators

Short Height of Cut Cylinder given Total Surface Area

LaTeX 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

LaTeX 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

LaTeX 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 Total Surface Area Formula

LaTeX Go

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 Total Surface Area?

Short Height of Cut Cylinder given Total Surface Area calculator uses 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 to calculate the Short Height of Cut Cylinder, Short Height of Cut Cylinder given Total 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 total 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 Total Surface Area using this online calculator? To use this online calculator for Short Height of Cut Cylinder given Total Surface Area, enter Total Surface Area of Cut Cylinder (TSA), Radius of Cut Cylinder (r), Semi Minor Axis of Cut Cylinder (b) & Long Height of Cut Cylinder (h_Long) and hit the calculate button. Here is how the Short Height of Cut Cylinder given Total Surface Area calculation can be explained with given input values -> 12.29014 = 680/(pi*5)-5-6-20.

FAQ

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

Short Height of Cut Cylinder given Total 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 total surface area of Cut Cylinder and is represented as h_Short = TSA/(pi*r)-r-b-h_Long or 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. Total Surface Area of Cut Cylinder is the total quantity of plane enclosed on the entire 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, Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic 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 Total Surface Area?

Short Height of Cut Cylinder given Total 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 total surface area of Cut Cylinder is calculated using 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. To calculate Short Height of Cut Cylinder given Total Surface Area, you need Total Surface Area of Cut Cylinder (TSA), Radius of Cut Cylinder (r), Semi Minor Axis of Cut Cylinder (b) & Long Height of Cut Cylinder (h_Long). With our tool, you need to enter the respective value for Total Surface Area of Cut Cylinder, Radius of Cut Cylinder, Semi Minor Axis 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 Total Surface Area of Cut Cylinder, Radius of Cut Cylinder, Semi Minor Axis 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 = Lateral Surface Area of Cut Cylinder/(pi*Radius 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

Home

FREE PDFs

🔍 Search