a. $$I_x = \frac{128\pi}{3}, I_y = \frac{56\pi}{3}, I_0 = \frac{184\pi}{3}$$ b. $$R_x = \frac{4\sqrt{3}}{3}, R_y = \frac{\sqrt{21}}{3}, R_0 = \frac{\sqrt{69}}{3}$$