解:
1. 潜水艇体积:$V = S(h_1 - h_0) = 100 \, \mathrm{cm}^2 × (12 \, \mathrm{cm} - 10 \, \mathrm{cm}) = 200 \, \mathrm{cm}^3 = 2 × 10^{-4} \, \mathrm{m}^3$
2. 悬浮时重力等于浮力:$G = F_{\mathrm{浮}} = \rho_{\mathrm{水}}gV = 1.0 × 10^3 \, \mathrm{kg/m}^3 × 10 \, \mathrm{N/kg} × 2 × 10^{-4} \, \mathrm{m}^3 = 2 \, \mathrm{N}$
3. 潜水艇材料体积:$V_{\mathrm{材料}} = \frac{m}{\rho} = \frac{G}{g\rho} = \frac{2 \, \mathrm{N}}{10 \, \mathrm{N/kg} × 2.0 × 10^3 \, \mathrm{kg/m}^3} = 1 × 10^{-4} \, \mathrm{m}^3 = 100 \, \mathrm{cm}^3$
4. 沉底时水深:$h_2 = h_0 + \frac{V_{\mathrm{材料}}}{S} = 10 \, \mathrm{cm} + \frac{100 \, \mathrm{cm}^3}{100 \, \mathrm{cm}^2} = 11 \, \mathrm{cm}$
2;11