Question

Question 110

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

Answer 1

Height of cylindrical vessel = 1m
Capacity of the cylindrical vessel = 15.4 L
In metre cube $=\frac{15.4}{1000}=.0154m^3$ $[\because 1m^3=1000L]$
Volume of a cylinder $=\pi r^{2}h$
$\Rightarrow \frac{22}{7}\times r^2\times 1=0.0154\Rightarrow r^2=\frac{0.0154}{3.14}=0.0049\Rightarrow r=\sqrt{0.0049}=0.07m$
$\therefore$ Metal of sheet required $=2\pi rh=2\times \frac{22}{7}\times 0.07\times 1=0.4396=0.44m^2$