Answer
$0.12 kg \cdot m^2$.
Work Step by Step
Treat the rim and tire like a hoop, with all of the mass at a distance R. We ignore the hub because the mass is located at the axis, with a very small r (approximately r = 0).
$$I=MR^2= (1.1 kg)(0.335m)^2=0.12 kg \cdot m^2$$