The capacity of a closed cylindrical vessel of height 1m is 15.4 litres. How many square metres of metal sheet would be needed to make it?

Answer

`4708 cm^(2)`

Explanation

`h = 100 cm, V = (15.4 xx 1000) cm^(3) = 15400 cm^(3)`
`V = pi r^(2)h rArr (22)/(7) xx r^(2) xx 100 = 15400 rArr r^(2) = 49 rArr r = 7 cm`
Area of the metal sheet `= (2pirh + 2pi r^(2)) = 2pi r (h + r)`