To answer this question, we need to do a drawing like this:
If we see the figure from above, we will see that the figure will have a radius of 5 cm, and, therefore, a diameter of 10 cm. The height will be always 3 cm.
Therefore, if the rectangle is rotated about the vertical axis, we will have a cylinder of radius equal to 5 cm and a height of 3 cm.
Hence, the answer is option A: a cylinder with a radius of 5 cm and a height of 3 cm.
