Consider a cylindrical tank that has a height of 9 m and a radius of 5 m. Recall that if the tank is full of 9 water then [251$ng 5 y)dy equals the work required to pump all the water out of the tank, through 0 an outow pipe that is 15 rn above the bottom of the tank. Revise this work integral for the following scenario. (Do not evaluate the integrals.) The work required to empty the tank through an outow pipe at the top of the tank. If D{y) is the distance a horizontal slice must be lifted, what is D{y) when the outow pipe is at the top of the tank? D(Y} = Suppose a 5-m cylindrical bar has a constant density of 5 g/cm for its left half and a constant density 6 g/cm for its right half. What is its mass? The mass of the bar is g