Respuesta :

Given data:

The given height of the cone is h=7 mm.

The given radius is r= 5mm.

The expression for the volume of the cone is,

[tex]V=\frac{1}{3}\pi(r)^2h[/tex]

Substitute the given values in the above expression.

[tex]\begin{gathered} V=\frac{1}{3}(3.14)(5mm)^2(7\text{ mm)} \\ =183\text{ cubic-mm} \end{gathered}[/tex]

Thus, the volumeof the cone is 183 cubic-mm, so option (C) is correct.