1. How many carbon nanofibers with 100 nm diameter can be firmly packed (parallel to the long axis) in the cylinder with 100 um diameter (same as human hair)? 2. Calculate the volume ratio and surface area ratio of a spherical particle with a diameter of 10 nm to one with a diameter of 100 mm. 3. Consider a sphere with a diameter of 1.0 mm. If this same mass of sphere is converted (through a size reduction process) to spheres with a diameter of 1.0 nm, calculate the increase in surface area of the smaller sized spheres