Use the divergence theorem to calculate the surface integral
s f · ds; that is, calculate the flux of f across s. f(x, y, z) = 3xy2i + xezj + z3k, s is the surface of the solid bounded by the cylinder
y2 + z2 = 1 and the planes

Ahypothetical metal has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.413 nm, 0.665 nm, and 0.876 nm, respectively. (a) if there are 8 atoms per unit cell and the atomic packing factor is 0.536, determine the atomic radius (in nm). (b) if the density is 3.99 g/cm3, calculate the metal's atomic weight (in g/mol).