The cylinder is removed and the original arrangement is restored. A tiny hole of area S (S<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:

(i) the initial speed of efflux of liquid at the hole.

(ii) the horizontal distance x travelled by the liquid initially.

(iii) the height h_{m} at which the hole should be punched so that the liquid travels the maximum

distance x_{m} initially. Also calculate x_{m}:

(Neglect the air-resistance in these calculations).