Bob, a spherical person, is floating around peacefully when Dave the giant orange fish launches him straight up at 23 m/s with his tail. If Bob has a density of 100 $\text{kg/m}^3$, let $f(r)$ denote how far underwater his center of mass plunges once he lands, assuming his center of mass was at water level when he's launched up. Find $\lim_{r \to 0} \left(f(r)\right)$. Express your answer in meters and round to the nearest integer. Assume the density of water is 1000 $\text{kg/m}^3$.

Let's think step by step and output the final answer within \boxed{}.
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