A series of small spherical buoys are to be used for energy harvesting purposes off of the coast. Measurements taken show that the prevailing wave frequency is around 1 Hz with a wave amplitude of 0.01 m. Due to constraints in how it will be transported, the buoy must fit into a 1m x 1m x 1m volume and have a mass of exactly 80kg. What size should the buoy be? Simulate the vertical response of the buoy, modeling the waves as a simple sine wave. Perform the simulation with your chosen buoy, as well as a buoy with a radius of 0.3 m, and compare the two responses. Assume CD = 0.8.