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Volume of Double Calotte given surface area and height Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*(Surface Area Polyhedron/(2*pi*Double Calotte Height)))-(Double Calotte Height/2))
Vpolyhedron = (hDouble_Calotte^2)*(pi/6)*((3*(SAPolyhedron/(2*pi*hDouble_Calotte)))-(hDouble_Calotte/2))
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Double Calotte Height - Double Calotte Height is the measurement of double calotte from head to foot or from base to top and it is less than radius of double calotte. (Measured in Meter)
Surface Area Polyhedron - Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Double Calotte Height: 7 Meter --> 7 Meter No Conversion Required
Surface Area Polyhedron: 1000 Square Meter --> 1000 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vpolyhedron = (hDouble_Calotte^2)*(pi/6)*((3*(SAPolyhedron/(2*pi*hDouble_Calotte)))-(hDouble_Calotte/2)) --> (7^2)*(pi/6)*((3*(1000/(2*pi*7)))-(7/2))
Evaluating ... ...
Vpolyhedron = 1660.20280998489
STEP 3: Convert Result to Output's Unit
1660.20280998489 Cubic Meter --> No Conversion Required
FINAL ANSWER
1660.20280998489 Cubic Meter <-- Volume Polyhedron
(Calculation completed in 00.016 seconds)

4 Volume of Double Calotte Calculators

Volume of Double Calotte given surface area and sphere radius
volume_polyhedron = ((Surface Area Polyhedron/(2*pi*Radius of Sphere))^2)*(pi/6)*((3*Radius of Sphere)-((Surface Area Polyhedron/(2*pi*Radius of Sphere))/2)) Go
Volume of Double Calotte given width and height
volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*((1/Double Calotte Height)*(((Double Calotte Width^2)/4)+((Double Calotte Height^2)/4))))-(Double Calotte Height/2)) Go
Volume of Double Calotte given surface area and height
volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*(Surface Area Polyhedron/(2*pi*Double Calotte Height)))-(Double Calotte Height/2)) Go
Volume of Double Calotte
volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*Radius of Sphere)-(Double Calotte Height/2)) Go

Volume of Double Calotte given surface area and height Formula

volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*(Surface Area Polyhedron/(2*pi*Double Calotte Height)))-(Double Calotte Height/2))
Vpolyhedron = (hDouble_Calotte^2)*(pi/6)*((3*(SAPolyhedron/(2*pi*hDouble_Calotte)))-(hDouble_Calotte/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 Volume of Double Calotte given surface area and height?

Volume of Double Calotte given surface area and height calculator uses volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*(Surface Area Polyhedron/(2*pi*Double Calotte Height)))-(Double Calotte Height/2)) to calculate the Volume Polyhedron, The Volume of Double Calotte given surface area and height formula is defined as amount of three dimensional space covered by double calotte. Volume Polyhedron is denoted by Vpolyhedron symbol.

How to calculate Volume of Double Calotte given surface area and height using this online calculator? To use this online calculator for Volume of Double Calotte given surface area and height, enter Double Calotte Height (hDouble_Calotte) & Surface Area Polyhedron (SAPolyhedron) and hit the calculate button. Here is how the Volume of Double Calotte given surface area and height calculation can be explained with given input values -> 1660.203 = (7^2)*(pi/6)*((3*(1000/(2*pi*7)))-(7/2)).

FAQ

What is Volume of Double Calotte given surface area and height?
The Volume of Double Calotte given surface area and height formula is defined as amount of three dimensional space covered by double calotte and is represented as Vpolyhedron = (hDouble_Calotte^2)*(pi/6)*((3*(SAPolyhedron/(2*pi*hDouble_Calotte)))-(hDouble_Calotte/2)) or volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*(Surface Area Polyhedron/(2*pi*Double Calotte Height)))-(Double Calotte Height/2)). Double Calotte Height is the measurement of double calotte from head to foot or from base to top and it is less than radius of double calotte & Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron.
How to calculate Volume of Double Calotte given surface area and height?
The Volume of Double Calotte given surface area and height formula is defined as amount of three dimensional space covered by double calotte is calculated using volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*(Surface Area Polyhedron/(2*pi*Double Calotte Height)))-(Double Calotte Height/2)). To calculate Volume of Double Calotte given surface area and height, you need Double Calotte Height (hDouble_Calotte) & Surface Area Polyhedron (SAPolyhedron). With our tool, you need to enter the respective value for Double Calotte Height & Surface Area Polyhedron 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 Volume Polyhedron?
In this formula, Volume Polyhedron uses Double Calotte Height & Surface Area Polyhedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*Radius of Sphere)-(Double Calotte Height/2))
  • volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*(Surface Area Polyhedron/(2*pi*Double Calotte Height)))-(Double Calotte Height/2))
  • volume_polyhedron = ((Surface Area Polyhedron/(2*pi*Radius of Sphere))^2)*(pi/6)*((3*Radius of Sphere)-((Surface Area Polyhedron/(2*pi*Radius of Sphere))/2))
  • volume_polyhedron = (Double Calotte Height^2)*(pi/6)*((3*((1/Double Calotte Height)*(((Double Calotte Width^2)/4)+((Double Calotte Height^2)/4))))-(Double Calotte Height/2))
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