4 Water drips into a conical container, which is orientated point downwards, at a rate of 100 mm³.s-1. The dimensions of the cone are such that the depth of water, h, is always equal to the radius, r, of the top surface of the water. ←→>>> h Show that the volume of the water is given by: V= V = 13h³ b) Find an expression for the rate of change of the depth of water with respect to time in terms of h. C) Find the rate at which the depth of water is increasing when the depth is 5 millimetres, giving the answer in mm.s¹ and to 3 significant figures.

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