ANSWER
[tex]354.6\text{ }mm^3[/tex]
EXPLANATION
The volume of a cone is given by:
[tex]V=\frac{1}{3}\pi *r^2*h[/tex]
where r = radius of the base of the cone
h = height of the cone
To find the radius of the cone, we have to find half of its diameter:
[tex]\begin{gathered} r=\frac{1}{2}*11 \\ r=5.5\text{ }mm \end{gathered}[/tex]
Therefore, the volume of the cone is:
[tex]\begin{gathered} V=\frac{1}{3}*3.14*5.5^2*11.2 \\ V=354.6\text{ }mm^3 \end{gathered}[/tex]
That is the answer.
