The Golden Jubilee, the largest cut diamond in the world, has the mass of 545.67 carats (1 carat = 200. mg). The density of diamaond is 3.51 g/cm^3. Answer questions below using the scientific notation with the proper significant figure.
a. What is its volume in cubic meters?
b. What is its average diameter in milimeters when its shape is assumed to be a perfect sphere?