MATH 252 EXAM 5 (6) (15 pts) An inverted cone creates the tank pictured below. The tank has a height of 12 meters (m) and a base of 10 m. The tank starts with a depth of 9 m of water. Set up, but do NOT evaluate, the integral needed to determine the work W required to pump water over the edge until the height of the water remaining is 1 m. Assume the gravitational constant g = 9.8 m/s and water density p = H=2 Br = 10 D=9 Y = 10 x 1000 x 9 = 9.8m/5 = 1000 kg/m DP = 1000 dx 10 1000 kg/m. 112 Do not evaluate. W = fi 9 1000 ( x (1/2) x ) 9.8 x (12-x) ^(pri)sx).