Water is simultaneously pumped into and drained from an inverted conical tank that…
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
Water is simultaneously pumped into and drained from an inverted conical tank that has a height of 4 m and a top radius of 2 m. The pump adds water at 0.003 m3/s while the drain removes water at 0.005 m3/s. When the water depth is 1 m, calculate the instantaneous rate of change of the water depth (in m/s). Assume the water surface remains similar in shape to the tank.