Nanoparticles are widely used as industrial catalysts due to their extremely high surface area to volume ratio (SA:VSA:VSA:V). Consider a spherical nickel nanoparticle with a diameter of 12 nm12\text{ nm}12 nm and a spherical fine particle of nickel with a diameter of 1.2 μ m1.2\,\mu\text{ m}1.2μ m. Assuming both particles are perfect spheres, by what factor is the surface area to volume ratio of the nanoparticle greater than that of the fine particle?
101010
100100100
1.0×1041.0 \times 10^41.0×104
1.0×1061.0 \times 10^61.0×106