Sphere Radius of Double Calotte given Width and Height Calculator

✖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.ⓘ Height of Double Calotte [h]			+10% -10%
✖Width of Double Calotte is the measurement or extent of Double Calotte from side to side.ⓘ Width of Double Calotte [w]			+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 given Width and Height [r_Sphere]

⎘ Copy

👎

Formula

✖

Sphere Radius of Double Calotte given Width and Height

Formula

`"r"_{"Sphere"} = 1/"h"*(("w"^2)/4+("h"^2)/4)`

Example

`"10m"=1/"8m"*((("16m")^2)/4+(("8m")^2)/4)`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Sphere Radius of Double Calotte given Width and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sphere Radius of Double Calotte = 1/Height of Double Calotte*((Width of Double Calotte^2)/4+(Height of Double Calotte^2)/4)
r_Sphere = 1/h*((w^2)/4+(h^2)/4)
This formula uses 3 Variables

Variables Used

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.
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.
Width of Double Calotte - (Measured in Meter) - Width of Double Calotte is the measurement or extent of Double Calotte from side to side.

STEP 1: Convert Input(s) to Base Unit

Height of Double Calotte: 8 Meter --> 8 Meter No Conversion Required
Width of Double Calotte: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Sphere = 1/h*((w^2)/4+(h^2)/4) --> 1/8*((16^2)/4+(8^2)/4)

Evaluating ... ...

r_Sphere = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Sphere Radius of Double Calotte

(Calculation completed in 00.004 seconds)

You are here -

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

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 Sphere Radius of Double Calotte Calculators

Sphere Radius of Double Calotte given Volume and Height

Go Sphere Radius of Double Calotte = 1/3*((6*Volume of Double Calotte)/(pi*Height of Double Calotte^2)+Height of Double Calotte/2)

Sphere Radius of Double Calotte given Width and Height

Go Sphere Radius of Double Calotte = 1/Height of Double Calotte*((Width of Double Calotte^2)/4+(Height of Double Calotte^2)/4)

Sphere Radius of Double Calotte

Go Sphere Radius of Double Calotte = Surface Area of Double Calotte/(2*pi*Height of Double Calotte)

Sphere Radius of Double Calotte given Width and Height Formula

Sphere Radius of Double Calotte = 1/Height of Double Calotte*((Width of Double Calotte^2)/4+(Height of Double Calotte^2)/4)
r_Sphere = 1/h*((w^2)/4+(h^2)/4)

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 Sphere Radius of Double Calotte given Width and Height?

Sphere Radius of Double Calotte given Width and Height calculator uses Sphere Radius of Double Calotte = 1/Height of Double Calotte*((Width of Double Calotte^2)/4+(Height of Double Calotte^2)/4) to calculate the Sphere Radius of Double Calotte, Sphere Radius of Double Calotte given Width and Height formula is defined as the straight line connecting the center and any point on the sphere of the Double Calotte, calculated using its width and height. Sphere Radius of Double Calotte is denoted by r_Sphere symbol.

How to calculate Sphere Radius of Double Calotte given Width and Height using this online calculator? To use this online calculator for Sphere Radius of Double Calotte given Width and Height, enter Height of Double Calotte (h) & Width of Double Calotte (w) and hit the calculate button. Here is how the Sphere Radius of Double Calotte given Width and Height calculation can be explained with given input values -> 10 = 1/8*((16^2)/4+(8^2)/4).

FAQ

What is Sphere Radius of Double Calotte given Width and Height?

Sphere Radius of Double Calotte given Width and Height formula is defined as the straight line connecting the center and any point on the sphere of the Double Calotte, calculated using its width and height and is represented as r_Sphere = 1/h*((w^2)/4+(h^2)/4) or Sphere Radius of Double Calotte = 1/Height of Double Calotte*((Width of Double Calotte^2)/4+(Height of Double Calotte^2)/4). 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 & Width of Double Calotte is the measurement or extent of Double Calotte from side to side.

How to calculate Sphere Radius of Double Calotte given Width and Height?

Sphere Radius of Double Calotte given Width and Height formula is defined as the straight line connecting the center and any point on the sphere of the Double Calotte, calculated using its width and height is calculated using Sphere Radius of Double Calotte = 1/Height of Double Calotte*((Width of Double Calotte^2)/4+(Height of Double Calotte^2)/4). To calculate Sphere Radius of Double Calotte given Width and Height, you need Height of Double Calotte (h) & Width of Double Calotte (w). With our tool, you need to enter the respective value for Height of Double Calotte & Width 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 Sphere Radius of Double Calotte?

In this formula, Sphere Radius of Double Calotte uses Height of Double Calotte & Width of Double Calotte. We can use 2 other way(s) to calculate the same, which is/are as follows -

Sphere Radius of Double Calotte = Surface Area of Double Calotte/(2*pi*Height of Double Calotte)
Sphere Radius of Double Calotte = 1/3*((6*Volume of Double Calotte)/(pi*Height of Double Calotte^2)+Height of Double Calotte/2)

Home

FREE PDFs

🔍 Search