Which gauge is used to inspect the height and diameter of the driven head of the rivet?

The correct choice for inspecting the height and diameter of the driven head of a rivet is the spoon gauge. This tool is specifically designed to measure the profile of rivet heads, as it can conform to the contour of the head and provide an appropriate reading of both height and diameter. The spoon gauge typically features a circular or oval spoon-shaped tip that is placed against the rivet head to ascertain whether it meets the required specifications after being driven into place.

In contrast, while caliper gauges can measure the diameter of rivets, they may not be ideal for accurately assessing the specific contour of a rivet head or its height. Digital gauges and Vernier gauges can also measure dimensions but are generally used for more precise measurements in other contexts. Therefore, the spoon gauge is the most suitable tool for this particular application involving rivet inspection.