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No. A hyperbola is formed when a plane slices a cone perpendicular to the bases.
A parabola is the figure formed by the intersection of a circular cone and a plane that lies parallel to the edge of the cone. (the cone does not have to be a right [90°] circular cone).
It is a section formed by a plane at right angles to the axis of the cone.
The weight of the atmosphere presses down on the groundwater in the well
A cone of depression will stop enlarging when the rate of groundwater extraction equals the rate of groundwater recharge in the aquifer. This occurs when the water table stabilizes as the inflow of water meets the outflow due to pumping. Factors such as geological conditions, distance from the pumping well, and the aquifer's permeability also influence this stabilization process. Once equilibrium is reached, the cone of depression will remain relatively constant in size.