Consider a solid torus of constant density p, formed by revolving the disc (y - b)2 + z2 ≤ a2, x = 0 about the z-axis, where 0 < a < b. Then the moment of inertia of the solid torus about the z-axis is
1
2π2a2b2(4b2 + 3a2)ρ
2
\(\rm \frac{\pi^2}{2}\)a2b(4b2 + 3a2)ρ
3
\(\rm \frac{\pi^2}{2}\)a2b(4a2 + 3b2)ρ
4
2π2a2b2(4a2 + 3b2)ρ