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

= 0.0154 m3
Let the radius of the base be r m. Capacity = 0.0154 m3

∴ Curved surface area =


= 0.44+0.0308=0.4708 m2
Hence, 0.47 m2 of metal sheet should be needed.