A solid and a hollow cylinder of the same size and made of the same material are heated for the same change of temperature. Will the expansions be the same? Explain your answer.

Explanation

The volume expansion, in both cases, will be the same.
Let us imagine a solid cylinder made of the same material inserted inside the hollow cylinder to fit exactly in the inner gap. Then the hollow cylinder is identical to the initially supplied solid cylinder. They will expand equally for the same rise in temperature. When their external dimensions are observed, we shall see that their volumes are the same. So, their expansions are equal.