The formula for the volume of a sphere is:
[tex]V=\frac{4\pi r³}{3}[/tex]Diameter is twice the radius, so:
r = 3.8/2 = 1.9m
So, the volume of the hemisphere is half the volume of a sphere, hence:
[tex]\begin{gathered} V=\frac{\frac{4*3.14*(1.9)³}{3}}{2} \\ V=14.358 \end{gathered}[/tex]The volume is 14.4m³, rounded to the nearest tenth.