Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Calculator

✖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%
✖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%

✖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 given Lateral Surface Area and Long Height [b]

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Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Semi Minor Axis of Cut Cylinder = sqrt(Radius of Cut Cylinder^2+((2*Long Height of Cut Cylinder-Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder))/2)^2)
b = sqrt(r^2+((2*h_Long-LSA/(pi*r))/2)^2)
This formula uses 1 Constants, 1 Functions, 4 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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = sqrt(r^2+((2*h_Long-LSA/(pi*r))/2)^2) --> sqrt(5^2+((2*20-500/(pi*5))/2)^2)

Evaluating ... ...

b = 6.4562517561092

STEP 3: Convert Result to Output's Unit

6.4562517561092 Meter --> No Conversion Required

FINAL ANSWER

6.4562517561092 ≈ 6.456252 Meter <-- Semi Minor Axis of Cut Cylinder

(Calculation completed in 00.008 seconds)

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< Semi Minor Axis of Cut Cylinder Calculators

Semi Minor Axis of Cut Cylinder given Lateral Surface Area

LaTeX Go Semi Minor Axis of Cut Cylinder = sqrt(((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2+(Lateral Surface Area of Cut Cylinder/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))^2)

Semi Minor Axis of Cut Cylinder given Total Surface Area

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

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Total Surface Area

LaTeX Go Semi Minor Axis of Cut Cylinder = (Total Surface Area of Cut Cylinder-Lateral Surface Area of Cut Cylinder-pi*Radius of Cut Cylinder^2)/(pi*Radius of Cut Cylinder)

Semi Minor Axis of Cut Cylinder

LaTeX Go Semi Minor Axis of Cut Cylinder = sqrt(Radius of Cut Cylinder^2+((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height 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 Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height calculator uses Semi Minor Axis of Cut Cylinder = sqrt(Radius of Cut Cylinder^2+((2*Long Height of Cut Cylinder-Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder))/2)^2) to calculate the Semi Minor Axis of Cut Cylinder, Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height formula is defined as 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, and is calculated using lateral surface area and long height of Cut Cylinder. Semi Minor Axis of Cut Cylinder is denoted by b symbol.

How to calculate Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height using this online calculator? To use this online calculator for Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height, enter Radius of Cut Cylinder (r), Long Height of Cut Cylinder (h_Long) & Lateral Surface Area of Cut Cylinder (LSA) and hit the calculate button. Here is how the Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height calculation can be explained with given input values -> 6.456252 = sqrt(5^2+((2*20-500/(pi*5))/2)^2).

FAQ

What is Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height formula is defined as 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, and is calculated using lateral surface area and long height of Cut Cylinder and is represented as b = sqrt(r^2+((2*h_Long-LSA/(pi*r))/2)^2) or Semi Minor Axis of Cut Cylinder = sqrt(Radius of Cut Cylinder^2+((2*Long Height of Cut Cylinder-Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder))/2)^2). 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 & Lateral Surface Area of Cut Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Cut Cylinder.

How to calculate Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height formula is defined as 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, and is calculated using lateral surface area and long height of Cut Cylinder is calculated using Semi Minor Axis of Cut Cylinder = sqrt(Radius of Cut Cylinder^2+((2*Long Height of Cut Cylinder-Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder))/2)^2). To calculate Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height, you need Radius of Cut Cylinder (r), Long Height of Cut Cylinder (h_Long) & Lateral Surface Area of Cut Cylinder (LSA). With our tool, you need to enter the respective value for Radius of Cut Cylinder, Long Height of Cut Cylinder & Lateral Surface Area 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 Semi Minor Axis of Cut Cylinder?

In this formula, Semi Minor Axis of Cut Cylinder uses Radius of Cut Cylinder, Long Height of Cut Cylinder & Lateral Surface Area of Cut Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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