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Volume of Double Calotte given surface area and sphere radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Vpolyhedron = ((SAPolyhedron/(2*pi*Rs))^2)*(pi/6)*((3*Rs)-((SAPolyhedron/(2*pi*Rs))/2))
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Surface Area Polyhedron - Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron. (Measured in Square Meter)
Radius of Sphere - Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area Polyhedron: 1000 Square Meter --> 1000 Square Meter No Conversion Required
Radius of Sphere: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vpolyhedron = ((SAPolyhedron/(2*pi*Rs))^2)*(pi/6)*((3*Rs)-((SAPolyhedron/(2*pi*Rs))/2)) --> ((1000/(2*pi*12))^2)*(pi/6)*((3*12)-((1000/(2*pi*12))/2))
Evaluating ... ...
Vpolyhedron = 2704.9473119409
STEP 3: Convert Result to Output's Unit
2704.9473119409 Cubic Meter --> No Conversion Required
FINAL ANSWER
2704.9473119409 Cubic Meter <-- Volume Polyhedron
(Calculation completed in 00.000 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 sphere radius Formula

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))
Vpolyhedron = ((SAPolyhedron/(2*pi*Rs))^2)*(pi/6)*((3*Rs)-((SAPolyhedron/(2*pi*Rs))/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 sphere radius?

Volume of Double Calotte given surface area and sphere radius calculator uses 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)) to calculate the Volume Polyhedron, Volume of Double Calotte given surface area and sphere radius 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 sphere radius using this online calculator? To use this online calculator for Volume of Double Calotte given surface area and sphere radius, enter Surface Area Polyhedron (SAPolyhedron) & Radius of Sphere (Rs) and hit the calculate button. Here is how the Volume of Double Calotte given surface area and sphere radius calculation can be explained with given input values -> 2704.947 = ((1000/(2*pi*12))^2)*(pi/6)*((3*12)-((1000/(2*pi*12))/2)).

FAQ

What is Volume of Double Calotte given surface area and sphere radius?
Volume of Double Calotte given surface area and sphere radius formula is defined as amount of three dimensional space covered by double calotte and is represented as Vpolyhedron = ((SAPolyhedron/(2*pi*Rs))^2)*(pi/6)*((3*Rs)-((SAPolyhedron/(2*pi*Rs))/2)) or 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)). Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron & Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.
How to calculate Volume of Double Calotte given surface area and sphere radius?
Volume of Double Calotte given surface area and sphere radius formula is defined as amount of three dimensional space covered by double calotte is calculated using 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)). To calculate Volume of Double Calotte given surface area and sphere radius, you need Surface Area Polyhedron (SAPolyhedron) & Radius of Sphere (Rs). With our tool, you need to enter the respective value for Surface Area Polyhedron & Radius of Sphere 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 Surface Area Polyhedron & Radius of Sphere. 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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