Asteroid is in the shape of sphere and has a mass of 1000 kilograms. Determine the density (in grams per cubic centimeter) of this asteroid if its diameter is known to be 1.2 meters. Useful information: 1 kg = 1000 g, 1 m = 100 cm, volume of sphere = 4/3 pi r^3. Remember that the radius of a sphere is equal to half its diameter! How does your calculated density (in grams per cubic centimeter) compare to the density of water? Would you expect this asteroid to float or sink in water based on your calculations? Show all of your work.