Steiner Formula and Quermassintegral of an Interval and a Unit Ball

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Related to Steiner Formula (which gives a polynomial expansion of Volume after Minkowski Sum of a Convex Body and Ball with some radius $r$):

I want to know what would be $quermassintegral$ of an Interval and a Unit Ball (all $quermassintegral$'s, i.e.: from first to n-th.)

Note: I am not sure if $quermassintegral$ is the correct name, but what I mean are terms in the expansion, other than powers of the radius and binomial coefficients.

I have already checked couple books now, but neither are explicitly providing a way to find out an answer for my question. Text/Book advice would be appreciated as well.

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Hug, Daniel; Weil, Wolfgang, $\textit{A Course on Convex Geometry}$. Very nice book if you are interested in Convex Geometry; explains the above mentioned property.