Width of Double Calotte given Surface Area and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
w = 2*sqrt(h/2*(SA/(pi*h)-h/2))
This formula uses 1 Constants, 1 Functions, 3 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
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.
Surface Area of Double Calotte - (Measured in Square Meter) - Surface Area of Double Calotte is defined as the measure of the total amount of 2d space enclosed by all the faces of the Double Calotte.
STEP 1: Convert Input(s) to Base Unit
Height of Double Calotte: 8 Meter --> 8 Meter No Conversion Required
Surface Area of Double Calotte: 500 Square Meter --> 500 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = 2*sqrt(h/2*(SA/(pi*h)-h/2)) --> 2*sqrt(8/2*(500/(pi*8)-8/2))
Evaluating ... ...
w = 15.9470964812969
STEP 3: Convert Result to Output's Unit
15.9470964812969 Meter --> No Conversion Required
FINAL ANSWER
15.9470964812969 15.9471 Meter <-- Width of Double Calotte
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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3 Width of Double Calotte Calculators

Width of Double Calotte given Surface Area and Sphere Radius
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
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
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 given Surface Area and Height Formula

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))
w = 2*sqrt(h/2*(SA/(pi*h)-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 given Surface Area and Height?

Width of Double Calotte given Surface Area and Height calculator uses 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)) to calculate the Width of Double Calotte, The Width of Double Calotte given Surface Area and Height formula is defined as the measurement or extent of Double Calotte from side to side, calculated using its surface area and height. Width of Double Calotte is denoted by w symbol.

How to calculate Width of Double Calotte given Surface Area and Height using this online calculator? To use this online calculator for Width of Double Calotte given Surface Area and Height, enter Height of Double Calotte (h) & Surface Area of Double Calotte (SA) and hit the calculate button. Here is how the Width of Double Calotte given Surface Area and Height calculation can be explained with given input values -> 15.9471 = 2*sqrt(8/2*(500/(pi*8)-8/2)).

FAQ

What is Width of Double Calotte given Surface Area and Height?
The Width of Double Calotte given Surface Area and Height formula is defined as the measurement or extent of Double Calotte from side to side, calculated using its surface area and height and is represented as w = 2*sqrt(h/2*(SA/(pi*h)-h/2)) or 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)). 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 & Surface Area of Double Calotte is defined as the measure of the total amount of 2d space enclosed by all the faces of the Double Calotte.
How to calculate Width of Double Calotte given Surface Area and Height?
The Width of Double Calotte given Surface Area and Height formula is defined as the measurement or extent of Double Calotte from side to side, calculated using its surface area and height is calculated using 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)). To calculate Width of Double Calotte given Surface Area and Height, you need Height of Double Calotte (h) & Surface Area of Double Calotte (SA). With our tool, you need to enter the respective value for Height of Double Calotte & Surface Area 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 & Surface Area 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*((2*Sphere Radius 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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