A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 16.0 $\mathrm{m}$ below the water level. If the rate of flow from the leak is $2.50 \times 10^{-3} \mathrm{m}^{3} / \mathrm{min}$ , determine (a) the speed at which the water leaves the hole and (b) the diameter of the hole.