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

Capacity of cylindrical vessel V = 15.4 litres = 15.4/1000m³ = 0.0154 m³ and height h = 1 m
Let, the radius of cylindrical vessel = r m
Volume of cylindrical vessel V = πr²h
⇒ 0.0154 = 22/7 r²× 1
⇒ r² = 0.0154 × 7/22 = 0.0049
⇒ r = √0.0049 = 0.07 m
Total surface area of cylindrical vessel = 2πr(r +h)
= 2 × 22/7 × 0.07 × (0.07 + 1) = 2 × 22 × 0.01 × 1.07 = 0.4708 m²
Hence, 0.4708 m² metal sheet is required to make this cylindrical vessel.