A water tank has the shape of an inverted right circular cone with base radius 3 meters and height 6 meters. Water is being pump
ed into the tank at the rate of 12 meters3/sec. Find the rate, in meters/sec, at which the water level is rising when the water is 2 meters deep. Give 2 decimal places for your answer.
Use volume formula for cone. Define radius in terms of height. Differentiate with respect to 't'. Sub in given values, dV/dt = 12, h=2. Solve for dh/dt.