Given:
The height of the cone, h=5m.
The radius of the base of the cone, r=4 m.
The volume of the cone can be calculated as,
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\times\pi\times4^2\times5 \\ V=\frac{1}{3}\times3.14\times16\times5 \\ V\approx84m^3 \end{gathered}[/tex]Therefore, the volume of the cone is 84 cu.m.
Hence, option B is correct.