Question
A spherical shell is heated. The volume change according to the equation $\text{V}_\theta=\text{V}_\theta(1+\gamma\theta)$. Does the volume refer to the volume enclosed by the shell or the volume of the material making up the shell?

Answer

When a spherical shell is heated, its volume changes according to the equation, $\text{V}_\theta=\text{V}_0(1+\gamma\triangle\theta)$. The volume referred to here is the volume of the material used to make up the shell, as its volume expands with the rise of temperature with coefficient of expansion of volume $\gamma.$

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