An ant starts at a point P on the top edge of a cylinder with radius R and height H. If the ant makes n complete circuits around the cylinder and finishes at a point Q directly below the starting point on the bottom edge, what is the shortest possible path for PQ? Steps:
a. Draw a cylinder and its net with points P and Q marked.
b. Label all the lengths you can.
c. Solve the problem when R = 4", H = 8', n = 3
d. Write a rule for PQ using R, H, n