Volume of Partially Full Cylinder on its SideDate: 12/31/2001 at 10:03:13 From: Charlie Subject: Volume of Partially Full Cylinder on its Side I am in charge of ordering fuel for our company, and the way the owner calculates the volume is via a grossly simplified percent full guesstimation. I remember in a college calculus class having to calculate the volume of a partially full cylinder (the cylinder being on it's side) but I can't remember the equation nor can I find it. Please help. Date: 12/31/2001 at 11:22:02 From: Doctor Jaffee Subject: Re: Volume of Partially Full Cylinder on its Side Hi Charlie, Suppose the base of your cylinder is a circle whose radius is r, and the height of the fuel in the circle is y. Let the height of the cylinder be h. Then the volume of fuel can be determined by the formula (r - y) V = h[r^2) (arccos -----)( - (r - y)*sqrt(2ry - y^2)] r This formula is based on the premise that you have your calculator or computer software set in the 'radian' mode and not the 'degree' mode. I hope the formula is helpful to you. - Doctor Jaffee, The Math Forum http://mathforum.org/dr.math/ |
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