A water clock consist of a vessel which has a small orifice O. The upper contaienr is filled with water which trickless down into the lower contaienr. The shape of the (upper or lower) contaienr is such that height of water in the upeer container changes at a uniform rate. What should be the shape of the container? Assume that atmospheric air can enter inside the lower container through a hole in it taht the upper container is open at the top. Vessel is axially symmetric.

Answer

The vessel can be obtained by revolution of a curve
`z=kx^(4)`