A yellow submarine is submerged in a rectangular swimming pool. It is stationary - neither rising or falling. The swimming pool is 6.0 m long, is filled to a height of 3.7 m, and is 3.0 m long on the short end. The submarine has a mass of 16,000 kg. What is the average density of the yellow submarine? How do we know? What is the volume of the yellow submarine? What is the combined mass of the submarine and the water in the swimming pool?

Think about it - if the sub neither rises nor falls what does that mean about its overall density compared to the density of water? A rock sinks because it's denser than water, and a piece of wood floats because it's less dense than water, right?

Once you know the density of the submarine, given its mass you can calculate its volume.

You can calculate the mass of the water + submarine in the pool from the dimensions you were given as long as you know how the density of the sub compares to the density of the water.

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Originally Posted by ebaines

Think about it - if the sub neither rises nor falls what does that mean about its overall density compared to the density of water? A rock sinks because it's denser than water, and a piece of wood floats because it's less dense than water, right?

Once you know the density of the submarine, given its mass you can calculate its volume.

You can calculate the mass of the water + submarine in the pool from the dimensions you were given as long as you know how the density of the sub compares to the density of the water.

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Thank you so much! Very helpful!