Water is leaking out of an inverted conical tank at a rate of 8000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 9 meters and the diameter at the top is 5.5 meters. If the water level is rising at a rate of 29 centimeters per minute when the height of the water is 2 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. CIIl min At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 20 knots. How fast (in knots) is the distance between the ships changing at 6 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) knots A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per minute and the sides of the square are increasing at a rate of 5 meters per minute. When the radius is 5 meters, and the sides are 15 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is square meters per minute