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Problems > Mr. T's Calculus > 2003

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.

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Moldy Growth
Find the antiderivative

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