A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) S² (y³-11y² + 28y) dy 9800л 0 9800л (-y5+15y4-72y³ + 112y2) dy 0 98007 (y3-7y²+12y) dy 0 9800 *S* (v³-9y² + 20y) dy 0

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