# how to calculate diameter and length change from volume change for a hollow cylinder?

I have a cylindrical material with a hole going through its center all along the larger dimension (length). I know the dimensions and the volume of the cylinder at temperature T1. Now, if I heat it up to another temperature T2, then I can calculate the volume change from the volume expansion coefficient of the material, which I already know. But, how to calculate the new dimensions (diameter, length) of the cylinder at that elevated temperature? I mean, how the diameter and length change would relate to the volume change? Any help will be highly appreciated ...

Thanks Naz

Every dimension of the cylinder will increase by the same proportion - let's call it x. Then the volume increases by a factor of $(1+x)^3.$ You know the latter, so just take the cube root.