For a pitcher with a $15$ cm diameter, an orifice $(1)/(2)$

cm in diameter, and a water depth above the orifice center of $13$ cm$,$ do the following. The discharge coefficient for the orifice is $0\mathrm{.}7.$ Write Bernoulli$$s equation from the surface of the water to the jet just outside the orifice not assuming the velocity is zero at the surface of the water. Calculate the loss coefficient for this case to $4$ significant figures.