RE 3 Filling a tank? Water flows into a conical tank at a rate of 2 ft /min. If the radius of the top of the tank is 4 ft and the height is 6 ft, determine how quickly the water level is rising when the water is 2 ft deep in the tank.

Solution Step 1: 3 Given Water flows into a conical tank at a rate of 2 ft /min. the radius â€˜râ€™ of the top of the tank is 4 ft and the height â€˜hâ€™ is 6 ft, Then r = 4 = 2 h 6 3 2 r = 3 h Volume of the conical tank is given by 1 v= 3 h 2 1 2 2 = 3 (3h) h = 4 (h ) 27