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(B) When the stones are in the boat, they displace a volume of water equal to their weight (Archimedes' Principle for floating objects). Let $W_s$ be

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(B) When the stones are in the boat, they displace a volume of water equal to their weight (Archimedes' Principle for floating objects). Let $W_s$ be the weight of the stones and $\rho_w$ be the density of water. The volume of water displaced is $V_1 = W_s / (\rho_w g)$.When the stones are dropped into the water, they sink and displace a volume of water equal to their own volume. Let $V_s$ be the volume of the stones and $\rho_s$ be the density of the stones. The volume of water displaced is $V_2 = V_s = W_s / (\rho_s g)$.Since the density of the stones is greater than the density of water $(\rho_s > \rho_w)$, it follows that $V_1 > V_2$.Because the volume of water displaced decreases when the stones are moved from the boat to the bottom of the tank, the water level in the tank falls.

$A$ boat carrying a number of large stones is floating in a water tank. What would happen to the water level if a few stones are unloaded into the water?

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