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?
Let the radius of the circular end be r
Volume of cylindrical vessel = 15.4 litres = 0.0154m3
� r2h = 0.0154 m3
( * r * r * 1) m = 0.0154 m3
r = 0.07 m
TSA of vessel = 2πr (r + h)
= 2 * * 0.07 (0.07 + 1)
= 0.44 * 1.07
= 0.4708 m2
Height (h) of cylindrical vessel = 1 m
Therefore, the metal sheet would be required to make the cylindrical vessel is 0.4708 m2