Volume of Double Calotte given Surface Area and Sphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Double Calotte = pi/6*(Surface Area of Double Calotte/(2*pi*Sphere Radius of Double Calotte))^2*((3*Sphere Radius of Double Calotte)-Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte))
V = pi/6*(SA/(2*pi*rSphere))^2*((3*rSphere)-SA/(4*pi*rSphere))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Volume of Double Calotte - (Measured in Cubic Meter) - Volume of Double Calotte is the amount of three-dimensional space enclosed by all the faces 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.
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
V = pi/6*(SA/(2*pi*rSphere))^2*((3*rSphere)-SA/(4*pi*rSphere)) --> pi/6*(500/(2*pi*10))^2*((3*10)-500/(4*pi*10))
Evaluating ... ...
V = 862.789769790052
STEP 3: Convert Result to Output's Unit
862.789769790052 Cubic Meter --> No Conversion Required
FINAL ANSWER
862.789769790052 862.7898 Cubic Meter <-- Volume of Double Calotte
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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4 Volume of Double Calotte Calculators

Volume of Double Calotte given Surface Area and Sphere Radius
Go Volume of Double Calotte = pi/6*(Surface Area of Double Calotte/(2*pi*Sphere Radius of Double Calotte))^2*((3*Sphere Radius of Double Calotte)-Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte))
Volume of Double Calotte given Width and Height
Go Volume of Double Calotte = pi/6*Height of Double Calotte^2*((3/Height of Double Calotte*((Width of Double Calotte^2)/4+(Height of Double Calotte^2)/4))-Height of Double Calotte/2)
Volume of Double Calotte given Surface Area and Height
Go Volume of Double Calotte = pi/6*Height of Double Calotte^2*((3*Surface Area of Double Calotte)/(2*pi*Height of Double Calotte)-Height of Double Calotte/2)
Volume of Double Calotte
Go Volume of Double Calotte = pi/6*Height of Double Calotte^2*((3*Sphere Radius of Double Calotte)-Height of Double Calotte/2)

Volume of Double Calotte given Surface Area and Sphere Radius Formula

Volume of Double Calotte = pi/6*(Surface Area of Double Calotte/(2*pi*Sphere Radius of Double Calotte))^2*((3*Sphere Radius of Double Calotte)-Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte))
V = pi/6*(SA/(2*pi*rSphere))^2*((3*rSphere)-SA/(4*pi*rSphere))

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 of Double Calotte = pi/6*(Surface Area of Double Calotte/(2*pi*Sphere Radius of Double Calotte))^2*((3*Sphere Radius of Double Calotte)-Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte)) to calculate the Volume of Double Calotte, Volume of Double Calotte given Surface Area and Sphere Radius formula is defined as the amount of three-dimensional space enclosed by all the faces of the Double Calotte, calculated using its surface area and sphere radius. Volume of Double Calotte is denoted by V 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 of Double Calotte (SA) & Sphere Radius of Double Calotte (rSphere) 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 -> 862.7898 = pi/6*(500/(2*pi*10))^2*((3*10)-500/(4*pi*10)).

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 the amount of three-dimensional space enclosed by all the faces of the Double Calotte, calculated using its surface area and sphere radius and is represented as V = pi/6*(SA/(2*pi*rSphere))^2*((3*rSphere)-SA/(4*pi*rSphere)) or Volume of Double Calotte = pi/6*(Surface Area of Double Calotte/(2*pi*Sphere Radius of Double Calotte))^2*((3*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 Volume of Double Calotte given Surface Area and Sphere Radius?
Volume of Double Calotte given Surface Area and Sphere Radius formula is defined as the amount of three-dimensional space enclosed by all the faces of the Double Calotte, calculated using its surface area and sphere radius is calculated using Volume of Double Calotte = pi/6*(Surface Area of Double Calotte/(2*pi*Sphere Radius of Double Calotte))^2*((3*Sphere Radius of Double Calotte)-Surface Area of Double Calotte/(4*pi*Sphere Radius of Double Calotte)). To calculate Volume of Double Calotte given Surface Area and Sphere Radius, you need Surface Area of Double Calotte (SA) & Sphere Radius of Double Calotte (rSphere). 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 Volume of Double Calotte?
In this formula, Volume of Double Calotte uses Surface Area of Double Calotte & Sphere Radius of Double Calotte. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Double Calotte = pi/6*Height of Double Calotte^2*((3*Sphere Radius of Double Calotte)-Height of Double Calotte/2)
  • Volume of Double Calotte = pi/6*Height of Double Calotte^2*((3*Surface Area of Double Calotte)/(2*pi*Height of Double Calotte)-Height of Double Calotte/2)
  • Volume of Double Calotte = pi/6*Height of Double Calotte^2*((3/Height of Double Calotte*((Width of Double Calotte^2)/4+(Height of Double Calotte^2)/4))-Height of Double Calotte/2)
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