The volume of a cone is $\displaystyle{V}=\frac{{1}}{{3}}\pi{{r}}^{{2}}{h}\usepackage{cmbright}\Huge\$ . Substitute $\displaystyle{r}={10}\usepackage{cmbright}\Huge\$ and $\displaystyle{h}={5}\usepackage{cmbright}\Huge\$ into the formula:

$\displaystyle{V}=\frac{{1}}{{3}}\pi{{\left({10}\right)}}^{{2}}{\left({5}\right)}\usepackage{cmbright}\Huge\$

$\displaystyle{V}=\frac{{1}}{{3}}\pi{\left({100}\right)}{\left({5}\right)}\usepackage{cmbright}\Huge\$

$\displaystyle{V}=\pi{\left(\frac{{500}}{{3}}\right)}\usepackage{cmbright}\Huge\$

$\displaystyle{V}\approx{3.14}\cdot{166.67}={523.34}\usepackage{cmbright}\Huge\$ cubic meters

Rounded to the nearest cubic meter, the volume of the cone is 523 cubic meters.