An ice block in the shape of a cylinder has cross-sectional area $12\,\text{m}^2$ and is floating in the sea, with part of it below the surface. The sea water has density $1020\,\text{kg m}^{-3}$. A polar bear with mass $400\,\text{kg}$ climbs onto the ice block. As a result, the block moves downward by a vertical distance $d$. What is the value of $d$?
- A$3.3\,\text{mm}$
- B$3.3\,\text{cm}$
- C$0.32\,\text{m}$
- D$3.1\,\text{m}$