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A container is formed by revolving the region bounded by the graph of y=x^2, and the x-axis, 0 < x < 2, about the y-axis. How much work is required to fill the container with a liquid from a source 2 units below the x-axis by pumping through a hole in the bottom of the container? (Assume pg=1)

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Answer:

A container is formed by revolving the region bounded by the graph of y=x2, and the x-axis, 0≤x≤2, about the y-axis. How much work is required to fill the container with a liquid from a source 2 units below the x-axis by pumping through a hole in the bottom of the container? (Assume ρg=1.)

Explanation:

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