[tex]2\pi R=24cm\ \ \ /:2\pi\\\\R=\frac{24}{2\pi}\\\\R=\frac{12}{\pi}\ (cm)\\\\V=\frac{4}{3}\pi R^3\\\\V=\frac{4}{3}\pi\cdot\left(\frac{12}{\pi}\right)^3=\frac{4}{3}\pi\cdot\frac{1728}{\pi^3}=\frac{2304}{\pi}\ (cm^3)\approx=\frac{2304}{3.14}\approx733.76\ (cm^3)[/tex]