given that diameter = 140cm ⇒radius = 70cm, volume of cylinder = 200litres = 200,000 cm3
volume of cylinder = base area times height = πr2h
200,000 cm3=722×70×70×h
200,000=7107,800h
cross multiply
1,400,000 = 107,800h
h=107,8001,400,000
= 13cm (to the nearest cm).