To find the volume, we use the equation for the volume of a cone
[tex]V_{cone}=\frac{\pi\cdot r^2\cdot h}{3}[/tex]The radius is,
[tex]r=\frac{d}{2}=\frac{10\operatorname{cm}}{2}=5\operatorname{cm}[/tex]the height is,
[tex]h=7\operatorname{cm}[/tex]Finally, we replace the values in the initial equation,
[tex]V_{cone}=\frac{\pi\cdot(5\operatorname{cm})^2\cdot7\operatorname{cm}}{3}=(183.17\operatorname{cm})^3[/tex]So, the volume is approximate 183 cm^3