Solution :
Given height of the man = 1.8 m
and waistline = 100 cm = 1 m.
Consider the shape of the man cylindrical.
Waistline of the man = circumference of the circular base of cylinder = 1 m
[tex]\Rightarrow 2\pi r = 1 \\ \Rightarrow r = \frac{0.5}{\pi}[/tex]
Volume of Cylinder , [tex]V = \pi r^2h[/tex]
[tex]\Rightarrow V = \pi\times (\frac{0.5}{\pi} )^2\times 1.8 \\ \\ \Rightarrow V = \frac{0.25}{\pi} \times 1.8 = \frac{0.45}{\pi} \approx0.14 \: m^3[/tex].
Hence, Volume of the man when using a cylinder is[tex]0.14\: m^3[/tex]
second option is the correct choice.
