There is a flat bottomed container whose inner wall is formed by the curve x=p(y)(y 20)The rotation surface formed by rotation around the Y-axis (as shown in the figure),andthe radius of the bottom circle of the container is 2m.According to the designrequirements,when the liquid is injected into the container at the rate of m2/min,thearea of the liquid surface will expand evenly at the rate of Tm2/min (assuming that there isno liquid in the container before the liquid is injected).yyx=p(y)x-202(①)According to the area of liquid surface at time T,write the relation between t and(p(y);()Find the equation of the curve x=p(y).(Note:m stands for meter of length and min for minute of time.)