Consider the milk container of Example 1.4.2 (Figure 1.4.7). A straw 9.5 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 f through the straw as a function of water height h above the hole.

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Height (cm) 09 8 7654321 Time ( 6 6 6 7 8 9 9 13 17 21