approximate the amount of work needed to pump liquid out of a tank 3 A tank is in the shape drawn below its boundary is obtained by rotating the parabola y 2x for 0 x 1 around the y axis Units are in meters Suppose the tank is full of a liquid whose density varies according tc the distance above the bottom of the tank 8 y 8 5 y kg m a Set up a Riemann sum that approximates the Work to pump all the liquid out a spout 1 meter above the top of the tank RS b Set up the integral to compute the total work Do NOT Evaluate W 34 y 2r LA 1