Consider the milk container of Example 1.4.2 (Figure 1.4.7). A straw 19 cm long was inserted in the side of the container. While adjusting the tap flow to keep the water height constant, the time for the outflow to fill a 250-ml cup was measured. This was repeated for several heights. The data are given in the following table.

Obtain a functional description of the volume outflow rate / through the straw as a function of water height h above the hole.

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Height (cm) 10 9 8 7 6 5 4 3 2 Time (s)7 7 7 89 10 11 13 15 17 23