Perimeter
A rolling pin has a diameter of d = 5 inches.
We know the length of the circumference that encircles it is given by
P = π · d
Then
P = π · 5
P = 5π
It it made 35 rotations then it traveled the length of the circumference that encircles it. That is:
35 · 5π ≅ 549. 78 in
Answer: it traveled 549. 78 in