The Density of Diamond, a Form of Carbon, Is 3520

The density of diamond, a form of carbon, is 3520 kg/m³. If the atomic mass of carbon is 12.011 u, how many carbon atoms are there in a solid diamond sphere with a radius of 0.0125 m?

A) 1.15 × 10²⁷ atoms
B) 5.76 × 10²⁶ atoms
C) 2.88 × 10²⁵ atoms
D) 1.44 × 10²⁴ atoms
E) 7.21 × 10²³ atoms