5. A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base with a constant speed of 21 ft/s. At what rate is his straight-line distance from second base changing when he is halfway to first base? Express your answer as a decimal correct to two decimal places. (Hint: "straight-line distance" means the distance of the line segment from the batter to second base, not the remaining distance the batter has to run along the baselines) (16 pts) 6. A water pump is filling up a tank in the shape of an inverted cone (i.e., point down). The top of the cone has a diameter of 12 meters, and the cone is 8 meters tall. If the water is being pumped into the cone at a rate of 15m per minute, how fast is the water level rising when the diameter at the water level is 6m? Express your answer as a decimal correct to three decimal places. (16 pts)