Radius of Sharp Bent Cylinder given Bent Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Sharp Bent Cylinder = sqrt(((Bent Diameter of Sharp Bent Cylinder/2)^2)-(((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)/2)^2))
r = sqrt(((DBent/2)^2)-(((h1(Long)-h1(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 Sharp Bent Cylinder - (Measured in Meter) - Radius of Sharp Bent Cylinder is the distance between the center and any point on the circumference of the base circular face of the Sharp Bent Cylinder.
Bent Diameter of Sharp Bent Cylinder - (Measured in Meter) - Bent Diameter of Sharp Bent Cylinder is the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Sharp Bent Cylinder.
First Long Height of Sharp Bent Cylinder - (Measured in Meter) - First Long Height of Sharp Bent Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder.
First Short Height of Sharp Bent Cylinder - (Measured in Meter) - First Short Height of Sharp Bent Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder.
STEP 1: Convert Input(s) to Base Unit
Bent Diameter of Sharp Bent Cylinder: 14 Meter --> 14 Meter No Conversion Required
First Long Height of Sharp Bent Cylinder: 12 Meter --> 12 Meter No Conversion Required
First Short Height of Sharp Bent Cylinder: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = sqrt(((DBent/2)^2)-(((h1(Long)-h1(Short))/2)^2)) --> sqrt(((14/2)^2)-(((12-5)/2)^2))
Evaluating ... ...
r = 6.06217782649107
STEP 3: Convert Result to Output's Unit
6.06217782649107 Meter --> No Conversion Required
FINAL ANSWER
6.06217782649107 6.062178 Meter <-- Radius of Sharp Bent Cylinder
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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2 Radius of Sharp Bent Cylinder Calculators

Radius of Sharp Bent Cylinder given Volume
Go Radius of Sharp Bent Cylinder = sqrt((2*Volume of Sharp Bent Cylinder)/(pi*(First Short Height of Sharp Bent Cylinder+First Long Height of Sharp Bent Cylinder+Second Long Height of Sharp Bent Cylinder+Second Short Height of Sharp Bent Cylinder)))
Radius of Sharp Bent Cylinder given Bent Diameter
Go Radius of Sharp Bent Cylinder = sqrt(((Bent Diameter of Sharp Bent Cylinder/2)^2)-(((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)/2)^2))

Radius of Sharp Bent Cylinder given Bent Diameter Formula

Radius of Sharp Bent Cylinder = sqrt(((Bent Diameter of Sharp Bent Cylinder/2)^2)-(((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)/2)^2))
r = sqrt(((DBent/2)^2)-(((h1(Long)-h1(Short))/2)^2))

What is a Sharp Bent Cylinder?

Sharp Bent Cylinder is made of two cut cylinders with equal radius and difference between long and short height. They are connected with each other at their elliptic surfaces. The smaller the difference between long and short height is, the larger is the bent angle, this is between 0 and 180 degrees.

How to Calculate Radius of Sharp Bent Cylinder given Bent Diameter?

Radius of Sharp Bent Cylinder given Bent Diameter calculator uses Radius of Sharp Bent Cylinder = sqrt(((Bent Diameter of Sharp Bent Cylinder/2)^2)-(((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)/2)^2)) to calculate the Radius of Sharp Bent Cylinder, Radius of Sharp Bent Cylinder given Bent Diameter formula is defined as the distance between the center and any point on the circumference of the base circular face of the Sharp Bent Cylinder, and is calculated using bent diameter, first long height and first short height of Sharp Bent Cylinder. Radius of Sharp Bent Cylinder is denoted by r symbol.

How to calculate Radius of Sharp Bent Cylinder given Bent Diameter using this online calculator? To use this online calculator for Radius of Sharp Bent Cylinder given Bent Diameter, enter Bent Diameter of Sharp Bent Cylinder (DBent), First Long Height of Sharp Bent Cylinder (h1(Long)) & First Short Height of Sharp Bent Cylinder (h1(Short)) and hit the calculate button. Here is how the Radius of Sharp Bent Cylinder given Bent Diameter calculation can be explained with given input values -> 6.062178 = sqrt(((14/2)^2)-(((12-5)/2)^2)).

FAQ

What is Radius of Sharp Bent Cylinder given Bent Diameter?
Radius of Sharp Bent Cylinder given Bent Diameter formula is defined as the distance between the center and any point on the circumference of the base circular face of the Sharp Bent Cylinder, and is calculated using bent diameter, first long height and first short height of Sharp Bent Cylinder and is represented as r = sqrt(((DBent/2)^2)-(((h1(Long)-h1(Short))/2)^2)) or Radius of Sharp Bent Cylinder = sqrt(((Bent Diameter of Sharp Bent Cylinder/2)^2)-(((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)/2)^2)). Bent Diameter of Sharp Bent Cylinder is the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Sharp Bent Cylinder, First Long Height of Sharp Bent Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder & First Short Height of Sharp Bent Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder.
How to calculate Radius of Sharp Bent Cylinder given Bent Diameter?
Radius of Sharp Bent Cylinder given Bent Diameter formula is defined as the distance between the center and any point on the circumference of the base circular face of the Sharp Bent Cylinder, and is calculated using bent diameter, first long height and first short height of Sharp Bent Cylinder is calculated using Radius of Sharp Bent Cylinder = sqrt(((Bent Diameter of Sharp Bent Cylinder/2)^2)-(((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)/2)^2)). To calculate Radius of Sharp Bent Cylinder given Bent Diameter, you need Bent Diameter of Sharp Bent Cylinder (DBent), First Long Height of Sharp Bent Cylinder (h1(Long)) & First Short Height of Sharp Bent Cylinder (h1(Short)). With our tool, you need to enter the respective value for Bent Diameter of Sharp Bent Cylinder, First Long Height of Sharp Bent Cylinder & First Short Height of Sharp Bent 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 Sharp Bent Cylinder?
In this formula, Radius of Sharp Bent Cylinder uses Bent Diameter of Sharp Bent Cylinder, First Long Height of Sharp Bent Cylinder & First Short Height of Sharp Bent Cylinder. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radius of Sharp Bent Cylinder = sqrt((2*Volume of Sharp Bent Cylinder)/(pi*(First Short Height of Sharp Bent Cylinder+First Long Height of Sharp Bent Cylinder+Second Long Height of Sharp Bent Cylinder+Second Short Height of Sharp Bent Cylinder)))
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