The altitude of a triangle is increasing at a rate of 3 centimeters! minute while the area of the triangle is increasing at a rate of 4 square centimeters! minute. At what rate is the base of the triangle changing when the altitude is 7 centimeters and the area is 95 square centimeters? Water is leaking out of an inverted conical tank at a rate of 10400 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 7 meters and the diameter at the top is 5.5 meters. If the water level is rising at a rate of 25 centimeters per minute when the height of the water is 4.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. \"11 min When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PVL4 = C where C is a constant. Suppose that at a certain instant the volume is 530 cubic centimeters and the pressure is 77 kPa and is decreasing at a rate of 14 kPa/ minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? 3 \"m min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals. )