(6) (14 pts) A circular cone creates the tank pictured below. The tank has a height...

 

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(6) (14 pts) A circular cone creates the tank pictured below. The tank has a height of 11 meters (m) and a base diameter of 8 m. The tank starts with a depth of 8 m of water. Set up, but do NOT evaluate, the integral needed to determine the work W required to pump water through the top opening until the depth of the water remaining is 2 m. Assume the gravitational constant g = 9.8 m/s and water mass density p = 1000 kg/m. T 8&m -5 5 0 (0, 11) 2 11 m (4,0) (6) (14 pts) A circular cone creates the tank pictured below. The tank has a height of 11 meters (m) and a base diameter of 8 m. The tank starts with a depth of 8 m of water. Set up, but do NOT evaluate, the integral needed to determine the work W required to pump water through the top opening until the depth of the water remaining is 2 m. Assume the gravitational constant g = 9.8 m/s and water mass density p = 1000 kg/m. T 8&m -5 5 0 (0, 11) 2 11 m (4,0)