Consider a container of the shape obtained by revolving a segment of parabola x=1+y2 around the y-axis as shown below. The container is initially empty. Water is poured at a constant rate of 1cm3 into the container. Let h(t) be the height of water inside container at time t. Find the time t when the rate of change of h(t) is maximum. conicsparabolamaximarate problems