Width of Double Calotte given Surface Area and Sphere Radius Calculator

✖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.ⓘ Surface Area of Double Calotte [SA]			+10% -10%
✖Sphere Radius of Double Calotte is a line segment extending from the center of a sphere to the circumference of the Double Calotte.ⓘ Sphere Radius of Double Calotte [r_Sphere]			+10% -10%

✖Width of Double Calotte is the measurement or extent of Double Calotte from side to side.ⓘ Width of Double Calotte given Surface Area and Sphere Radius [w]

⎘ Copy

👎

Formula

✖

Width of Double Calotte given Surface Area and Sphere Radius

Formula

`"w" = 2*sqrt("SA"/(4*pi*"r"_{"Sphere"})*((2*"r"_{"Sphere"})-"SA"/(4*pi*"r"_{"Sphere"})))`

Example

`"15.96822m"=2*sqrt("500m²"/(4*pi*"10m")*((2*"10m")-"500m²"/(4*pi*"10m")))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Width of Double Calotte given Surface Area and Sphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
w = 2*sqrt(SA/(4*pi*r_Sphere)*((2*r_Sphere)-SA/(4*pi*r_Sphere)))
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.
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.
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

Surface Area of Double Calotte: 500 Square Meter --> 500 Square 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(SA/(4*pi*r_Sphere)*((2*r_Sphere)-SA/(4*pi*r_Sphere))) --> 2*sqrt(500/(4*pi*10)*((2*10)-500/(4*pi*10)))

Evaluating ... ...

w = 15.9682230197142

STEP 3: Convert Result to Output's Unit

15.9682230197142 Meter --> No Conversion Required

FINAL ANSWER

15.9682230197142 ≈ 15.96822 Meter <-- Width of Double Calotte

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Double Calotte » Width of Double Calotte » Width of Double Calotte given Surface Area and Sphere Radius

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 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 Sphere Radius Formula

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 Sphere Radius?

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

How to calculate Width of Double Calotte given Surface Area and Sphere Radius using this online calculator? To use this online calculator for Width of Double Calotte given Surface Area and Sphere Radius, enter Surface Area of Double Calotte (SA) & Sphere Radius of Double Calotte (r_Sphere) and hit the calculate button. Here is how the Width of Double Calotte given Surface Area and Sphere Radius calculation can be explained with given input values -> 15.96822 = 2*sqrt(500/(4*pi*10)*((2*10)-500/(4*pi*10))).

FAQ

What is Width of Double Calotte given Surface Area and Sphere Radius?

The Width of Double Calotte given Surface Area and Sphere Radius formula is defined as the measurement or extent of Double Calotte from side to side, calculated using its surface area and sphere radius and is represented as w = 2*sqrt(SA/(4*pi*r_Sphere)*((2*r_Sphere)-SA/(4*pi*r_Sphere))) or 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))). 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 & 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 given Surface Area and Sphere Radius?

The Width of Double Calotte given Surface Area and Sphere Radius formula is defined as the measurement or extent of Double Calotte from side to side, calculated using its surface area and sphere radius is calculated using 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))). To calculate Width of Double Calotte given Surface Area and Sphere Radius, you need Surface Area of Double Calotte (SA) & Sphere Radius of Double Calotte (r_Sphere). With our tool, you need to enter the respective value for Surface Area 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 Surface Area 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*((2*Sphere Radius of Double Calotte)-Height of Double Calotte/2))
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))

Home

FREE PDFs

🔍 Search