Width of Double Calotte Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Double Calotte = 2*sqrt(Height of Double Calotte/2*((2*Sphere Radius of Double Calotte)-Height of Double Calotte/2))
w = 2*sqrt(h/2*((2*rSphere)-h/2))
This formula uses 1 Functions, 3 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
Width of Double Calotte - (Measured in Meter) - Width of Double Calotte is the measurement or extent of Double Calotte from side to side.
Height of Double Calotte - (Measured in Meter) - Height of Double Calotte is the measurement of double calotte from head to foot or from base to top and it is less than the sphere radius of the Double Calotte.
Sphere Radius of Double Calotte - (Measured in Meter) - Sphere Radius of Double Calotte is a line segment extending from the center of a sphere to the circumference of the Double Calotte.
STEP 1: Convert Input(s) to Base Unit
Height of Double Calotte: 8 Meter --> 8 Meter No Conversion Required
Sphere Radius of Double Calotte: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = 2*sqrt(h/2*((2*rSphere)-h/2)) --> 2*sqrt(8/2*((2*10)-8/2))
Evaluating ... ...
w = 16
STEP 3: Convert Result to Output's Unit
16 Meter --> No Conversion Required
FINAL ANSWER
16 Meter <-- Width of Double Calotte
(Calculation completed in 00.006 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Width of Double Calotte Calculators

Width of Double Calotte given Surface Area and Sphere Radius
​ LaTeX ​ Go Width of Double Calotte = 2*sqrt(Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte)*((2*Sphere Radius of Double Calotte)-Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte)))
Width of Double Calotte given Surface Area and Height
​ LaTeX ​ Go Width of Double Calotte = 2*sqrt(Height of Double Calotte/2*(Surface Area of Double Calotte/(pi*Height of Double Calotte)-Height of Double Calotte/2))
Width of Double Calotte
​ LaTeX ​ Go Width of Double Calotte = 2*sqrt(Height of Double Calotte/2*((2*Sphere Radius of Double Calotte)-Height of Double Calotte/2))

Width of Double Calotte Formula

​LaTeX ​Go
Width of Double Calotte = 2*sqrt(Height of Double Calotte/2*((2*Sphere Radius of Double Calotte)-Height of Double Calotte/2))
w = 2*sqrt(h/2*((2*rSphere)-h/2))

What is Double Calotte?

A Double Calotte is a spherical cap, with a height smaller than the radius of the sphere, with another spherical cap of the same size attached at their flat sides. Its slice plane is pointed oval.

How to Calculate Width of Double Calotte?

Width of Double Calotte calculator uses Width of Double Calotte = 2*sqrt(Height of Double Calotte/2*((2*Sphere Radius of Double Calotte)-Height of Double Calotte/2)) to calculate the Width of Double Calotte, The Width of Double Calotte formula is defined as the measurement or extent of Double Calotte from side to side. Width of Double Calotte is denoted by w symbol.

How to calculate Width of Double Calotte using this online calculator? To use this online calculator for Width of Double Calotte, enter Height of Double Calotte (h) & Sphere Radius of Double Calotte (rSphere) and hit the calculate button. Here is how the Width of Double Calotte calculation can be explained with given input values -> 16 = 2*sqrt(8/2*((2*10)-8/2)).

FAQ

What is Width of Double Calotte?
The Width of Double Calotte formula is defined as the measurement or extent of Double Calotte from side to side and is represented as w = 2*sqrt(h/2*((2*rSphere)-h/2)) or Width of Double Calotte = 2*sqrt(Height of Double Calotte/2*((2*Sphere Radius of Double Calotte)-Height of Double Calotte/2)). Height of Double Calotte is the measurement of double calotte from head to foot or from base to top and it is less than the sphere radius of the Double Calotte & Sphere Radius of Double Calotte is a line segment extending from the center of a sphere to the circumference of the Double Calotte.
How to calculate Width of Double Calotte?
The Width of Double Calotte formula is defined as the measurement or extent of Double Calotte from side to side is calculated using Width of Double Calotte = 2*sqrt(Height of Double Calotte/2*((2*Sphere Radius of Double Calotte)-Height of Double Calotte/2)). To calculate Width of Double Calotte, you need Height of Double Calotte (h) & Sphere Radius of Double Calotte (rSphere). With our tool, you need to enter the respective value for Height of Double Calotte & Sphere Radius of Double Calotte 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 Width of Double Calotte?
In this formula, Width of Double Calotte uses Height of Double Calotte & Sphere Radius of Double Calotte. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Width of Double Calotte = 2*sqrt(Height of Double Calotte/2*(Surface Area of Double Calotte/(pi*Height of Double Calotte)-Height of Double Calotte/2))
  • Width of Double Calotte = 2*sqrt(Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte)*((2*Sphere Radius of Double Calotte)-Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte)))
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