given that diameter = 140cm ⇒radius = 70cm, volume of cylinder = 200litres = 200,000cm3
volume of cylinder = base area times height = πr2h
200,000cm3=227×70×70×h
200,000=107,800h7
cross multiply
1,400,000 = 107,800h
h=1,400,000107,800
= 13cm (to the nearest cm).