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Finding the volume of fuel oil in a tanker


	The oil tank problem A fuel-oil tank is 10 feet long and has flat ends that are perpendicular to the ground surface. Cross-sections parallel to the flat ends have the shape of the ellipse x²/9 + y²/36 = 1. If the fuel oil in the tank is 9 feet deep, what is the volume of the fuel oil in the tank? Show the integrals you use to solve this problem. You MAY do a numerical integration, rather than applying the Fundamental Theorem. Problem Moderated by: MrT Show Problem Solution 2003 Archive