To design the interior surface of a huge stainless-steel tank, you revolve the curve y = x3, 0 ≤ x ≤ 3, about the y-axis. The container, with dimensions in meters, is partially filled with seawater, a cubic meter of which weighs 10,000 N. The depth of the water is 1m. How much work will it take to empty the tank by pumping the water to the tank’s top?

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