Correct. Given $\displaystyle\frac{{4}}{{3}}\pi{{r}}^{{3}}={100},{{r}}^{{3}}={\left(\frac{{3}}{{{4}\pi}}\right)}{100}=\frac{{75}}{\pi}\usepackage{cmbright}\Huge\$ . This means that $\displaystyle{\sqrt[{{3}}]{{{{r}}^{{3}}}}}={\sqrt[{{3}}]{{\frac{{75}}{\pi}}}}\usepackage{cmbright}\Huge\$ .