Volume of Liquid in a Cylindrical TankDate: 05/08/2000 at 23:47:31 From: Mohd Zain Mustapha Subject: Volume of cylinder Dear Dr. Math, I would like to know how to calculate volume of liquid in a cylinder (not full) lying horizontally. I appreciate your help very much. Regards, Zain Date: 05/09/2000 at 08:31:04 From: Doctor Jerry Subject: Re: Volume of cylinder Hi Mohd, Consider a circle of radius a (the end of the tank) and imagine that the liquid has reached height h, measured from the lowest point on the circle. Note that 0 <= h <= 2a. The area A of the segment of the circle covered by the liquid is: A = pi*a^2/2 - a^2*arcsin(1-h/a) - (a-h)*sqrt(h(2a-h)) The volume of liquid is just A*L, where L is the length of the tank. - Doctor Jerry, The Math Forum http://mathforum.org/dr.math/ |
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