Water is leaking out of an inverted conical tank at a rate of 12800 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 24 centimeters per minute when the height of the water is 1.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. [1 cm3 min Question Help: El Video Submit Question 0 Question 8 [3 0/1 pt '0 3 23 99 G) Details When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PVl'4 = C where C is a constant. Suppose that at a certain instant the volume is 540 cubic centimeters and the pressure is 87 kPa and is decreasing at a rate of 15 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? \"\"3 min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals. ) Question Help: El Video Submit Question 0 Question 9 [Z on pt '0 3 8 99 G) Details Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = 'mjh [ ft