A single ice cube with mass 16.4 g floats in a glass

Chapter 12, Problem 12.64

(choose chapter or problem)

A single ice cube with mass 16.4 g floats in a glass completely full of \(420 \mathrm{/ cm}^{3}\) of water. Ignore the water’s surface tension and its variation in density with temperature (as long as it remains a liquid).

(a) What volume of water does the ice cube displace?

(b) When the ice cube has completely melted, has any water overflowed? If so, how much? If not, explain why this is so.

(c) Suppose the water in the glass had been very salty water of density \(1050 \mathrm{\ kg} / \mathrm{m}^{3}\). What volume of salt water would the 9.70-g ice cube displace?

(d) Redo part (b) for the freshwater ice cube in the salty water.

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