A hemispherical bowl of internal diameter 36 cm contains liquid. This liquid is filled into 72 cylindrical bottles of diameter 6 cm. Find the height of each bottle.

Diameter = 36 cm, then radius = 18 cm
Volume of hemispherical bowl = (2/3)πr³ = (2/3) × (22/7) × (18)³ = 12219.43 cm³
Given radius of cylinder = 3 cm
Volume of cylinder = πr²h
Volume of 72 bottles = (22/7) × (3)² × h × 72
Since the liquid from the bowl fills the 72 bottles, we equate the volumes:
12219.43 = (22/7) × 9 × h × 72
12219.43 = 2036.57h
h = 12219.43 / 2036.57
h ≈ 6 cm