Answer: \(\frac{9}{2}\pi\text{x}^3\\\\\)
Work Shown
\(V = \frac{4}{3}\pi r^3\\\\V = \frac{4}{3}\pi \left(\frac{3}{2}\text{x}\right)^3\\\\V = \frac{4}{3}\pi*\frac{27}{8}\text{x}^3\\\\V = \frac{4*27}{3*8}\pi\text{x}^3\\\\V = \frac{4*9*3}{3*4*2}\pi\text{x}^3\\\\V = \frac{9}{2}\pi\text{x}^3\\\\\)