The given diagram represents a right circular cylinder with diameter (d) 14 mm and height (h) 10 mm.
Consoder that the volume (V) of the cyliner is given by,
![V=(\pi)/(4)d^2h](https://img.qammunity.org/2023/formulas/mathematics/college/tlakqhuonuefpjouq40kla50ihtpizv85q.png)
Substitute the values and simplify,
![\begin{gathered} V=(\pi)/(4)(14)^2(10) \\ V=490\pi \\ V=1538.6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3k3zz98v1ubfg2fjnmcx4nh07y8ulxrg7p.png)
Thus, the volume of the given cyliner is 1538.6 cubic millimeters, approximately.