. In a recent bicycle race through a mountainous region in Spain the world champion, Annemiek van Vleuten, asked her team for an unpainted bike. In the hope of making the climbs easier to ride, her request was based on a total mass saving of about 100 grams. Suppose her bike has a section of carbon tubing as in Figure 2(a) below. The inner and outer diameter of this tube is 4.76 cm and 5.07 cm respectively. Both ends are cut at 45° with the cuts centred on z = 20 cm. For convenience we may take the cuts to be in the z direction. B D ry