Radius of Cut Cylinder given Semi Minor Axis Calculator

✖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 [h_Short]			+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 given Semi Minor Axis [r]

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Radius of Cut Cylinder given Semi Minor Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Cut Cylinder = sqrt(Semi Minor Axis of Cut Cylinder^2-((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)
r = sqrt(b^2-((h_Long-h_Short)/2)^2)
This formula uses 1 Functions, 4 Variables

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Short Height of Cut Cylinder: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(b^2-((h_Long-h_Short)/2)^2) --> sqrt(6^2-((20-12)/2)^2)

Evaluating ... ...

r = 4.47213595499958

STEP 3: Convert Result to Output's Unit

4.47213595499958 Meter --> No Conversion Required

FINAL ANSWER

4.47213595499958 ≈ 4.472136 Meter <-- Radius of Cut Cylinder

(Calculation completed in 00.004 seconds)

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< Radius of Cut Cylinder Calculators

Radius of Cut Cylinder given Volume

LaTeX Go Radius of Cut Cylinder = sqrt(Volume of Cut Cylinder/(pi*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2)))

Radius of Cut Cylinder given Semi Minor Axis

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

Radius of Cut Cylinder given Lateral Surface Area

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

Radius of Cut Cylinder given Volume and Lateral Surface Area

LaTeX Go Radius of Cut Cylinder = (2*Volume of Cut Cylinder)/Lateral Surface Area of Cut Cylinder

Radius of Cut Cylinder given Semi Minor Axis Formula

LaTeX Go

Radius of Cut Cylinder = sqrt(Semi Minor Axis of Cut Cylinder^2-((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)
r = sqrt(b^2-((h_Long-h_Short)/2)^2)

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 Radius of Cut Cylinder given Semi Minor Axis?

Radius of Cut Cylinder given Semi Minor Axis calculator uses Radius of Cut Cylinder = sqrt(Semi Minor Axis of Cut Cylinder^2-((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2) to calculate the Radius of Cut Cylinder, Radius of Cut Cylinder given Semi Minor Axis formula is defined as the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder, and is calculated using semi minor axis of Cut Cylinder. Radius of Cut Cylinder is denoted by r symbol.

How to calculate Radius of Cut Cylinder given Semi Minor Axis using this online calculator? To use this online calculator for Radius of Cut Cylinder given Semi Minor Axis, enter Semi Minor Axis of Cut Cylinder (b), Long Height of Cut Cylinder (h_Long) & Short Height of Cut Cylinder (h_Short) and hit the calculate button. Here is how the Radius of Cut Cylinder given Semi Minor Axis calculation can be explained with given input values -> 4.472136 = sqrt(6^2-((20-12)/2)^2).

FAQ

What is Radius of Cut Cylinder given Semi Minor Axis?

Radius of Cut Cylinder given Semi Minor Axis formula is defined as the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder, and is calculated using semi minor axis of Cut Cylinder and is represented as r = sqrt(b^2-((h_Long-h_Short)/2)^2) or Radius of Cut Cylinder = sqrt(Semi Minor Axis of Cut Cylinder^2-((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2). 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 & Short Height of Cut Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

How to calculate Radius of Cut Cylinder given Semi Minor Axis?

Radius of Cut Cylinder given Semi Minor Axis formula is defined as the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder, and is calculated using semi minor axis of Cut Cylinder is calculated using Radius of Cut Cylinder = sqrt(Semi Minor Axis of Cut Cylinder^2-((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2). To calculate Radius of Cut Cylinder given Semi Minor Axis, you need Semi Minor Axis of Cut Cylinder (b), Long Height of Cut Cylinder (h_Long) & Short Height of Cut Cylinder (h_Short). With our tool, you need to enter the respective value for Semi Minor Axis of Cut Cylinder, Long Height of Cut Cylinder & Short 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 Radius of Cut Cylinder?

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

Radius of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*(Short Height of Cut Cylinder+Long Height of Cut Cylinder))
Radius of Cut Cylinder = sqrt(Volume of Cut Cylinder/(pi*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2)))
Radius of Cut Cylinder = (2*Volume of Cut Cylinder)/Lateral Surface Area of Cut Cylinder

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