A cylindrical tank, shown to the right, has height 12 m and radius 4 m. Suppose...

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A cylindrical tank, shown to the right, has height 12 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 4 m above the top of the tank. Use 1000 kg/m for the density of water and 9.8 m/s for the acceleration due to gravity. 4 m A(y) = (Type an exact answer, using as needed.) 12 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 y 12, find the cross-sectional area A(y). A cylindrical tank, shown to the right, has height 12 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 4 m above the top of the tank. Use 1000 kg/m for the density of water and 9.8 m/s for the acceleration due to gravity. 4 m A(y) = (Type an exact answer, using as needed.) 12 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 y 12, find the cross-sectional area A(y).