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Volume of Cylindric Tank (R, h, L)

ÀÛ¼ºÀÚ Uploader : ezmech ÀÛ¼ºÀÏ Upload Date: 2016-04-04º¯°æÀÏ Update Date: 2016-04-04Á¶È¸¼ö View : 724

Volume of Cylindric Tank can be expressed using Radius, Height and Length.  

From area of circular segment A;
Area of Sector = R^2*arccos((R-h)/R)  
Area of Triangles = (R-h)*(R^2-(R-h)^2)^(1/2) = (R-h)*(2Rh-h^2)^(1/2)  
A = R^2*arccos((R-h)/R) - (R-h)*(2Rh-h^2)^(1/2)  

Volume V;
V = A*L = (R^2*arccos((R-h)/R) - (R-h)*(2Rh-h^2)^(1/2))*L


*** Âü°í¹®Çå[References] ***

https://en.wikipedia.org/wiki/Circular_segment http://mathworld.wolfram.com/CircularSegment.html
V = (R^2*arccos((R-h)/R) - (R-h)*(2*R*h-h^2)^(1/2))*L
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