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Selasa, 28 Mei 2013

Partially Filled Spherical tank Calculator

Computing the volume of liquid in a partially-filled spherical tank is rather 
complex because the volume formulas are more involved than the simple 
sphere volume formula.

For ease of calculating, we chose
a) liquid level is height ( h ) and   
b) tank radius = r  or ( diameter /2) as the data items required for input.

If you only know cap height and diameter, just remember this simple relationship:
Liquid Level = Diameter - Cap Height.

The total volume of a partially-filled spherical tank equals total sphere volume 
minus spherical cap volume

Formula for this calculation :
Okay,... lets try calculate, for example  :
liquid level / height ( h ) = 180 cm
Tank radius ( r )  = 120 cm
How much Liquid volume ?

Volume = ( Pi * h^2 * r  ) - ( Pi * h^3 / 3 )
          V  = ( 3.14 x 180 ^2 x 120 ) - ( 3.14 x 180 ^3 / 3 ) 
           V = ( 3.14 x 32400 x 120 ) - ( 3.14 x 5832000 / 3 )
               = 12214512.237  -  6107256.119
               = 6107256.118  : 1000
               = 6107.3  litre

to quickly calculate, please see screensooht below :
For download aplication (64 kb) , click below on the google drive  :

https://drive.google.com/file/d/0B6KvPJue5V-0LTNQNEpGWTJhTDg/view?usp=sharing


Use this tool to smart calculate the volume of liquid in a spherical storage tank
based on the radius of the tank and the height of the liquid in the tank.

Please find Full Page link : https://tools.geludug.com/bola/index.html  


Luckily, this calculator is very easy to use and will compute those 
volumes for you.
The only confusion that could arise is that this is for a spherical tank. 
(Basically a perfect sphere).

Okay, ...... see you on the next post 

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