The capacity of a closed cylindrical vessel of height 1 m is 15.4 liters
Question:

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

Solution:

Given,

Height of the cylindrical vessel $=15.4$ litres $=0.0154 \mathrm{~m}^{3}\left[1 \mathrm{~m}^{3}=1000\right.$ litres $]$

Let the radius of the circular ends of the cylinders be ‘r’

$\pi r^{2} h=0.0154 \mathrm{~m}^{3}$

$r=0.07 \mathrm{~m} \quad[\pi=31.4, h=1 \mathrm{~m}]$

Total surface area of a vessel $=2 \pi r(r+h)$

$=2(3.14(0.07)(0.07+1)) \mathrm{m}^{2}=0.4703 \mathrm{~m}^{2}$