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AMC 10 2008b Problem 19

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A cylindrical tank with radius 44 feet and height 99 feet is lying on its side. The tank is filled with water to a depth of 22 feet. What is the volume of water, in cubic feet? (A) 24π−362(B) 24π−243(C) 36π−363(D) 36π−242(E) 48π−363\mathrm{(A)}\ 24\pi - 36 \sqrt {2} \mathrm{(B)}\ 24\pi - 24 \sqrt {3} \mathrm{(C)}\ 36\pi - 36 \sqrt {3} \mathrm{(D)}\ 36\pi - 24 \sqrt {2} \mathrm{(E)}\ 48\pi - 36 \sqrt {3}

Dataset text NuminaMath-1.5. Quoted with source.

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48\pi-36\sqrt3

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