ANSWER
[tex]1120\pi mm^3[/tex]
EXPLANATION
We want to find the volume of the cylinder given.
The volume of a cylinder is given as:
[tex]V=\pi\cdot r^2\cdot h[/tex]
where r = radius, h = height
From the figure, the radius is not given but the diameter is given,
The radius is half of the diameter. This means that for the cylinder:
[tex]\begin{gathered} r=\frac{1}{2}\cdot16\operatorname{mm} \\ r=8\operatorname{mm} \end{gathered}[/tex]
The height of the cylinder is 17.5 mm.
Therefore, the volume of the cylinder is:
[tex]\begin{gathered} V=\pi\cdot8^2\cdot17.5 \\ V=1120\pi mm^3 \end{gathered}[/tex]
